Question

1. 7 - n = 15

i. -3n + 7 = -41
t. -18 = \frac{n}{4} - 25
t. 10 - 7n = 73
b. -17 + \frac{n}{-3} = -12

Explanation:

Let's solve each equation one by one:

Equation 0: \( 7 - n = 15 \)

Step 1: Isolate the variable term

Subtract 7 from both sides: \( 7 - n - 7 = 15 - 7 \)
Simplify: \( -n = 8 \)

Step 2: Solve for \( n \)

Multiply both sides by -1: \( n = -8 \)

Step 1: Isolate the variable term

Subtract 7 from both sides: \( -3n + 7 - 7 = -41 - 7 \)
Simplify: \( -3n = -48 \)

Step 2: Solve for \( n \)

Divide both sides by -3: \( n = \frac{-48}{-3} = 16 \)

Step 1: Isolate the variable term

Add 25 to both sides: \( -18 + 25 = \frac{n}{4} - 25 + 25 \)
Simplify: \( 7 = \frac{n}{4} \)

Step 2: Solve for \( n \)

Multiply both sides by 4: \( n = 7 \times 4 = 28 \)

Answer:

\( n = -8 \)

Equation I: \( -3n + 7 = -41 \)