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 Multiplicatio
−7+[(8⋅m)⋅18]+7 is equivalent to m.
Step 1: −7+[(8⋅m)⋅18]+7 (given expression)
Step 2: −7+[(18⋅8)⋅m]+7 (Commutative Property of Multiplication)
Step 3: −7+[18⋅(8⋅m)]+7 (Associative Property of Multiplication)
Step 4: −7+[18⋅(8m)]+7 (Simplify the expression inside the parentheses)
Step 5: −7+(18⋅8m)+7 (remove the parentheses)
Step 6: −7+144m+7 (simplify the multiplication)
Step 7: −7+7+144m (combine like terms)
Step 8: 0+144m (Inverse Property of Addition)
Step 9: 144m (Identity Property of Addition)
Step 10: m (Identity Property of Multiplication)
Therefore, −7+[(8⋅m)⋅18]+7 is equivalent to m.