7) $6p - 10 = 26$
8) $\frac{n}{10}-20 = 0$
9) $\frac{h}{4}+1 = 9$
10) $9s - 40 = 41$
11) $14 = 2c + 8$
12) $8 = 5d - 12$
13) $6=\frac{m}{3}-9$
14) $4w - 6 = 10$
15) $\frac{f}{3}+2 = 11$

Question

Accepted Answer

### Problem 7: $6p - 10 = 26$
# Explanation:
## Step 1: Add 10 to both sides
To isolate the term with $p$, we add 10 to both sides of the equation. This gives us $6p - 10 + 10 = 26 + 10$, which simplifies to $6p = 36$.
## Step 2: Divide by 6
Now, we divide both sides by 6 to solve for $p$. So, $\frac{6p}{6} = \frac{36}{6}$, which simplifies to $p = 6$.
# Answer: $p = 6$

### Problem 8: $\frac{n}{10} - 20 = 0$
# Explanation:
## Step 1: Add 20 to both sides
To isolate the term with $n$, we add 20 to both sides. This gives $\frac{n}{10} - 20 + 20 = 0 + 20$, simplifying to $\frac{n}{10} = 20$.
## Step 2: Multiply by 10
Multiply both sides by 10 to solve for $n$. So, $\frac{n}{10} \times 10 = 20 \times 10$, which gives $n = 200$.
# Answer: $n = 200$

### Problem 9: $\frac{h}{4} + 1 = 9$
# Explanation:
## Step 1: Subtract 1 from both sides
To isolate the term with $h$, we subtract 1 from both sides. This gives $\frac{h}{4} + 1 - 1 = 9 - 1$, simplifying to $\frac{h}{4} = 8$.
## Step 2: Multiply by 4
Multiply both sides by 4 to solve for $h$. So, $\frac{h}{4} \times 4 = 8 \times 4$, which gives $h = 32$.
# Answer: $h = 32$

### Problem 10: $9s - 40 = 41$
# Explanation:
## Step 1: Add 40 to both sides
To isolate the term with $s$, we add 40 to both sides. This gives $9s - 40 + 40 = 41 + 40$, simplifying to $9s = 81$.
## Step 2: Divide by 9
Divide both sides by 9 to solve for $s$. So, $\frac{9s}{9} = \frac{81}{9}$, which gives $s = 9$.
# Answer: $s = 9$

### Problem 11: $14 = 2c + 8$
# Explanation:
## Step 1: Subtract 8 from both sides
To isolate the term with $c$, we subtract 8 from both sides. This gives $14 - 8 = 2c + 8 - 8$, simplifying to $6 = 2c$.
## Step 2: Divide by 2
Divide both sides by 2 to solve for $c$. So, $\frac{6}{2} = \frac{2c}{2}$, which gives $c = 3$.
# Answer: $c = 3$

### Problem 12: $8 = 5d - 12$
# Explanation:
## Step 1: Add 12 to both sides
To isolate the term with $d$, we add 12 to both sides. This gives $8 + 12 = 5d - 12 + 12$, simplifying to $20 = 5d$.
## Step 2: Divide by 5
Divide both sides by 5 to solve for $d$. So, $\frac{20}{5} = \frac{5d}{5}$, which gives $d = 4$.
# Answer: $d = 4$

### Problem 13: $6 = \frac{m}{3} - 9$
# Explanation:
## Step 1: Add 9 to both sides
To isolate the term with $m$, we add 9 to both sides. This gives $6 + 9 = \frac{m}{3} - 9 + 9$, simplifying to $15 = \frac{m}{3}$.
## Step 2: Multiply by 3
Multiply both sides by 3 to solve for $m$. So, $15 \times 3 = \frac{m}{3} \times 3$, which gives $m = 45$.
# Answer: $m = 45$

### Problem 14: $4w - 6 = 10$
# Explanation:
## Step 1: Add 6 to both sides
To isolate the term with $w$, we add 6 to both sides. This gives $4w - 6 + 6 = 10 + 6$, simplifying to $4w = 16$.
## Step 2: Divide by 4
Divide both sides by 4 to solve for $w$. So, $\frac{4w}{4} = \frac{16}{4}$, which gives $w = 4$.
# Answer: $w = 4$

### Problem 15: $\frac{f}{3} + 2 = 11$
# Explanation:
## Step 1: Subtract 2 from both sides
To isolate the term with $f$, we subtract 2 from both sides. This gives $\frac{f}{3} + 2 - 2 = 11 - 2$, simplifying to $\frac{f}{3} = 9$.
## Step 2: Multiply by 3
Multiply both sides by 3 to solve for $f$. So, $\frac{f}{3} \times 3 = 9 \times 3$, which gives $f = 27$.
# Answer: $f = 27$

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

Problem 7: \(6p - 10 = 26\)

Step 1: Add 10 to both sides

Step 2: Divide by 6

Step 1: Add 20 to both sides

Step 2: Multiply by 10

Step 1: Subtract 1 from both sides

Step 2: Multiply by 4

Answer:

Problem 8: \(\frac{n}{10} - 20 = 0\)