Complete the following stepped-out solution to show that −7+[(8⋅m)⋅1/8]+7 is equivalent to m.
−7+__+[(8⋅m)⋅1/8] - Commutative Property of Addition.
__+[(8⋅m)⋅1/8] - Inverse Property of Addition.
(8⋅m)⋅1/8 - Identity Property of Addition.
(8⋅__)⋅m - Associative Property of Multiplication.
(__)⋅m - Inverse Property of Multiplication
m - Identity Property of Multiplication
−7+__+[(8⋅m)⋅1/8] - Commutative Property of Addition.
__-7+[(8⋅m)⋅1/8] - Inverse Property of Addition.
__+[(8⋅m)⋅1/8]-7 - Commutative Property of Addition.
__+[(8⋅1/8)⋅m]-7 - Associative Property of Multiplication.
__+(1⋅m)-7 - Simplifying (8⋅1/8) to 1.
__+m-7 - Identity Property of Multiplication.
__+(m-7) - Associative Property of Addition.
(m-7)+__ - Commutative Property of Addition.
m - Inverse Property of Addition.
Therefore, −7+[(8⋅m)⋅1/8]+7 is equivalent to m.