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

Answer 1

To simplify the expression −7+[(8⋅m)⋅1/8]+7, we can follow these steps:

Step 1: Simplify the expression within the innermost parentheses.

The expression within the parentheses is (8⋅m)⋅1/8.
To simplify this, we multiply 8 and m first, then multiply the result by 1/8.
8⋅m = 8m
8m⋅1/8 = m

Step 2: Substitute the simplified expression back into the original expression.

The expression −7+[(8⋅m)⋅1/8]+7 becomes:
-7 + m + 7

Step 3: Simplify the remaining expression.

-7 + m + 7 can be simplified as -7 + 7 = 0.
Therefore, the simplified expression is just m.