Answer:
Simplifying
5(2m + 3) + -1(1 + -2m) = 2[3(3 + 2m) + -1(3 + -1m)]
Reorder the terms:
5(3 + 2m) + -1(1 + -2m) = 2[3(3 + 2m) + -1(3 + -1m)]
(3 * 5 + 2m * 5) + -1(1 + -2m) = 2[3(3 + 2m) + -1(3 + -1m)]
(15 + 10m) + -1(1 + -2m) = 2[3(3 + 2m) + -1(3 + -1m)]
15 + 10m + (1 * -1 + -2m * -1) = 2[3(3 + 2m) + -1(3 + -1m)]
15 + 10m + (-1 + 2m) = 2[3(3 + 2m) + -1(3 + -1m)]
Reorder the terms:
15 + -1 + 10m + 2m = 2[3(3 + 2m) + -1(3 + -1m)]
Combine like terms: 15 + -1 = 14
14 + 10m + 2m = 2[3(3 + 2m) + -1(3 + -1m)]
Combine like terms: 10m + 2m = 12m
14 + 12m = 2[3(3 + 2m) + -1(3 + -1m)]
14 + 12m = 2[(3 * 3 + 2m * 3) + -1(3 + -1m)]
14 + 12m = 2[(9 + 6m) + -1(3 + -1m)]
14 + 12m = 2[9 + 6m + (3 * -1 + -1m * -1)]
14 + 12m = 2[9 + 6m + (-3 + 1m)]
Reorder the terms:
14 + 12m = 2[9 + -3 + 6m + 1m]
Combine like terms: 9 + -3 = 6
14 + 12m = 2[6 + 6m + 1m]
Combine like terms: 6m + 1m = 7m
14 + 12m = 2[6 + 7m]
14 + 12m = [6 * 2 + 7m * 2]
14 + 12m = [12 + 14m]
Solving
14 + 12m = 12 + 14m
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-14m' to each side of the equation.
14 + 12m + -14m = 12 + 14m + -14m
Combine like terms: 12m + -14m = -2m
14 + -2m = 12 + 14m + -14m
Combine like terms: 14m + -14m = 0
14 + -2m = 12 + 0
14 + -2m = 12
Add '-14' to each side of the equation.
14 + -14 + -2m = 12 + -14
Combine like terms: 14 + -14 = 0
0 + -2m = 12 + -14
-2m = 12 + -14
Combine like terms: 12 + -14 = -2
-2m = -2
Divide each side by '-2'.
m = 1
Simplifying
m = 1
Step-by-step explanation:
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