Question

1. $9 + s = -5$
2. $-4 + y = -9$
3. $5j = -32.15$
4. $\frac{w}{5} = 3$
5. $-3c - 9 = -24$
6. $5k - 7 = -52$
7. $\frac{4}{3}x + 5 = -3$
8. $\frac{2e}{5} = -2$

Explanation:

Problem 1: \( 9 + s = -5 \)

Step 1: Subtract 9 from both sides

To isolate \( s \), we subtract 9 from both sides of the equation.
\( 9 + s - 9 = -5 - 9 \)

Step 2: Simplify both sides

Simplifying the left side gives \( s \), and simplifying the right side gives \( -14 \).
\( s = -14 \)

Step 1: Add 4 to both sides

To isolate \( y \), we add 4 to both sides of the equation.
\( -4 + y + 4 = -9 + 4 \)

Step 2: Simplify both sides

Simplifying the left side gives \( y \), and simplifying the right side gives \( -5 \).
\( y = -5 \)

Step 1: Divide both sides by 5

To isolate \( j \), we divide both sides of the equation by 5.
\( j = \frac{-32.15}{5} \)

Step 2: Simplify the right side

Calculating the division gives \( j = -6.43 \).
\( j = -6.43 \)

Answer:

\( s = -14 \)

Problem 2: \( -4 + y = -9 \)