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Simplifying -12 = 5(2m + -1) + -1(7 + -2m) Reorder the terms: -12 = 5(-1 + 2m) + -1(7 + -2m) -12 = (-1 * 5 + 2m * 5) + -1(7 + -2m) -12 = (-5 + 10m) + -1(7 + -2m) -12 = -5 + 10m + (7 * -1 + -2m * -1) -12 = -5 + 10m + (-7 + 2m) Reorder the terms: -12 = -5 + -7 + 10m + 2m Combine like terms: -5 + -7 = -12 -12 = -12 + 10m + 2m Combine like terms: 10m + 2m = 12m -12 = -12 + 12m Add '12' to each side of the equation. -12 + 12 = -12 + 12 + 12m Combine like terms: -12 + 12 = 0 0 = -12 + 12 + 12m Combine like terms: -12 + 12 = 0 0 = 0 + 12m 0 = 12m Solving 0 = 12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-12m' to each side of the equation. 0 + -12m = 12m + -12m Remove the zero: -12m = 12m + -12m Combine like terms: 12m + -12m = 0 -12m = 0 Divide each side by '-12'. m = 0 Simplifying m = 0
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