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15) $m + 8 = 4$ 17) $\frac{a}{10} = -5$

Question

  1. $m + 8 = 4$
  2. $\frac{a}{10} = -5$

Explanation:

Response
Problem 15: \( m + 8 = 4 \)

Step 1: Subtract 8 from both sides

To solve for \( m \), we need to isolate it. Subtract 8 from both sides of the equation:
\( m + 8 - 8 = 4 - 8 \)

Step 2: Simplify both sides

Simplify the left side ( \( 8 - 8 = 0 \) ) and the right side ( \( 4 - 8 = -4 \) ):
\( m = -4 \)

Problem 17: \( \frac{a}{10} = -5 \)

Step 1: Multiply both sides by 10

To solve for \( a \), multiply both sides of the equation by 10 to isolate \( a \):
\( \frac{a}{10} \times 10 = -5 \times 10 \)

Step 2: Simplify both sides

Simplify the left side ( \( \frac{a}{10} \times 10 = a \) ) and the right side ( \( -5 \times 10 = -50 \) ):
\( a = -50 \)

Answer:

s:
For problem 15: \( m = \boldsymbol{-4} \)
For problem 17: \( a = \boldsymbol{-50} \)