Complete the following stepped-out solution to show that −7+[(8⋅m)⋅18]+7 is equivalent to m . (2 points)
−7+
+[(8⋅m)⋅18] Commutative Property of Addition
+[(8⋅m)⋅18] Inverse Property of Addition
(8⋅m)⋅18 Identity Property of Addition
(8⋅
)⋅ m Associative Property of Multiplication
(
)⋅m Inverse Property of Multiplication
m Identity Property of Multiplication
−7+[(8⋅m)⋅18]+7 is equivalent to m because:
-7+[(8⋅m)⋅18]+7 (Commutative Property of Addition)
= -7 + 7 + [(8⋅m)⋅18] (Inverse Property of Addition)
= 0 + [(8⋅m)⋅18] (Identity Property of Addition)
= (8⋅m)⋅18 (Identity Property of Addition)
= (8⋅m)⋅(18) (Associative Property of Multiplication)
= 8⋅(m⋅18) (Associative Property of Multiplication)
= 8⋅18⋅m (Associative Property of Multiplication)
= 144⋅m (Multiplication)
= m⋅144 (Commutative Property of Multiplication)
= m⋅(1⋅144) (Identity Property of Multiplication)
= m⋅1 (Associative Property of Multiplication)
= m (Identity Property of Multiplication)
Therefore, −7+[(8⋅m)⋅18]+7 is equivalent to m.