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