Q:

What is 6(1+3m)=-8-2m+5)-4

Accepted Solution

A:
Answer:m = (-13)/20Step-by-step explanation:Solve for m: 6 (3 m + 1) = -2 m - 8 - 4 + 5 Grouping like terms, -2 m - 8 - 4 + 5 = -2 m + (-8 + 5 - 4): 6 (3 m + 1) = -2 m + (-8 + 5 - 4) -8 + 5 - 4 = -7: 6 (3 m + 1) = -7 - 2 m Expand out terms of the left hand side: 18 m + 6 = -2 m - 7 Add 2 m to both sides: 18 m + 2 m + 6 = (2 m - 2 m) - 7 2 m - 2 m = 0: 18 m + 2 m + 6 = -7 18 m + 2 m = 20 m: 20 m + 6 = -7 Subtract 6 from both sides: 20 m + (6 - 6) = -6 - 7 6 - 6 = 0: 20 m = -6 - 7 -6 - 7 = -13: 20 m = -13 Divide both sides of 20 m = -13 by 20: (20 m)/20 = (-13)/20 20/20 = 1: Answer: m = (-13)/20