Complete the following stepped-out solution to show that −7+[(8⋅m)⋅1/8]+7 is equivalent to m . (2 points)

Answer 1

To show that the expression \(-7 + [(8 \cdot m) \cdot \frac{1}{8}] + 7\) is equivalent to \(m\), we can simplify it step by step.

1. Start with the original expression: \[ -7 + [(8 \cdot m) \cdot \frac{1}{8}] + 7 \]

2. Simplify the expression inside the brackets: \[ (8 \cdot m) \cdot \frac{1}{8} = \frac{8m}{8} = m \]

3. Substitute back into the expression: \[ -7 + m + 7 \]

4. Combine like terms: \[ -7 + 7 + m = 0 + m = m \]

Thus, the original expression simplifies to \(m\).

So, \(-7 + [(8 \cdot m) \cdot \frac{1}{8}] + 7\) is indeed equivalent to \(m\).