Complete the following stepped-out solution to show that −7+[(8⋅m)⋅18]+7 is equivalent to m. (2 points)

Question

−7+7+[(8⋅m)⋅1/8] Commutative Property of Addition
0+[(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

Answer 1

-7+[(8⋅m)⋅18]+7

Using the Commutative Property of Addition, we can rearrange the equation:

-7+7+[(8⋅m)⋅18]

Simplifying the middle terms using the Inverse Property of Addition (-7+7=0):

0+[(8⋅m)⋅18]

Simplifying the equation further using the Identity Property of Addition (0+a=a):

[(8⋅m)⋅18]

Using the Associative Property of Multiplication, we can rearrange the equation:

(8⋅18)⋅m

Simplifying (8⋅18=144):

144⋅m

Simplifying further using the Inverse Property of Multiplication (a/1=a):

(144⋅1/8)⋅m

Simplifying (144⋅1/8=18):

18⋅m

Finally, using the Identity Property of Multiplication (a⋅1=a):

m