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Simplifying -1m + -2(6 + -2m) = 3(6 + 4m) + -7m -1m + (6 * -2 + -2m * -2) = 3(6 + 4m) + -7m -1m + (-12 + 4m) = 3(6 + 4m) + -7m Reorder the terms: -12 + -1m + 4m = 3(6 + 4m) + -7m Combine like terms: -1m + 4m = 3m -12 + 3m = 3(6 + 4m) + -7m -12 + 3m = (6 * 3 + 4m * 3) + -7m -12 + 3m = (18 + 12m) + -7m Combine like terms: 12m + -7m = 5m -12 + 3m = 18 + 5m Solving -12 + 3m = 18 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. -12 + 3m + -5m = 18 + 5m + -5m Combine like terms: 3m + -5m = -2m -12 + -2m = 18 + 5m + -5m Combine like terms: 5m + -5m = 0 -12 + -2m = 18 + 0 -12 + -2m = 18 Add '12' to each side of the equation. -12 + 12 + -2m = 18 + 12 Combine like terms: -12 + 12 = 0 0 + -2m = 18 + 12 -2m = 18 + 12 Combine like terms: 18 + 12 = 30 -2m = 30 Divide each side by '-2'. m = -15 Simplifying m = -15
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