Complete the following stepped-out solution to show that −7 + [(8 ⋅ m) ⋅ 18] + 7 (fill in the blanks)
- 7 + __ + [(8 x m) x 1/8]: commutative property of addition
__ + [(8 x m) x 1/8]: inverse property of addition
(8 x m) x 1/8: identity property of addition
(8 x __) x m: associative property of multiplication
(__) x m: inverse property of multiplication
m: identity property of multiplication
- 7 + __ + [(8 x m) x 1/8] = -7 + [(8 x m) x 1/8] + 7 (commutative property of addition)
- 7 + __ + [(8 x m) x 1/8] = [(8 x m) x 1/8] + (-7) + 7 (inverse property of addition)
[(8 x m) x 1/8] + (-7) + 7 = (8 x m) x 1/8 (identity property of addition)
(8 x m) x 1/8 = (8 x m) x 1/8 (associative property of multiplication)
(8 x m) x 1/8 = 1/8 x (8 x m) (commutative property of multiplication)
1/8 x (8 x m) = m (identity property of multiplication)
Therefore, the final answer is m.