Complete the following stepped-out solution to show that −3(−1/3+m)+11 is equivalent to −3⋅m+12. −3⋅__+(−3⋅m)+11: Apply the Distributive Property. __+(−3⋅m)+11: Apply the Inverse Property of Multiplication. −3⋅m+__+11:Apply the Commutative Property of Addition and add.
−3(−1/3+m)+11: Apply the Distributive Property.
−3⋅(-1/3) + (-3⋅m) + 11: Simplify −3⋅(-1/3) to 1.
1 + (-3⋅m) + 11: Apply the Inverse Property of Multiplication.
1 + (-3⋅m) + 11: The additive inverse of −3⋅m is 3⋅m.
1 + (-3⋅m) + 11: Apply the Commutative Property of Addition and add.
−3⋅m + 12: Combine like terms.