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Simplifying 12m + -12m = 2(-12 + 12m) + -12(10 + -10m) Combine like terms: 12m + -12m = 0 0 = 2(-12 + 12m) + -12(10 + -10m) 0 = (-12 * 2 + 12m * 2) + -12(10 + -10m) 0 = (-24 + 24m) + -12(10 + -10m) 0 = -24 + 24m + (10 * -12 + -10m * -12) 0 = -24 + 24m + (-120 + 120m) Reorder the terms: 0 = -24 + -120 + 24m + 120m Combine like terms: -24 + -120 = -144 0 = -144 + 24m + 120m Combine like terms: 24m + 120m = 144m 0 = -144 + 144m Solving 0 = -144 + 144m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-144m' to each side of the equation. 0 + -144m = -144 + 144m + -144m Remove the zero: -144m = -144 + 144m + -144m Combine like terms: 144m + -144m = 0 -144m = -144 + 0 -144m = -144 Divide each side by '-144'. m = 1 Simplifying m = 1
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