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Simplifying -4(2 + -1m) = 2m + -12 (2 * -4 + -1m * -4) = 2m + -12 (-8 + 4m) = 2m + -12 Reorder the terms: -8 + 4m = -12 + 2m Solving -8 + 4m = -12 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -8 + 4m + -2m = -12 + 2m + -2m Combine like terms: 4m + -2m = 2m -8 + 2m = -12 + 2m + -2m Combine like terms: 2m + -2m = 0 -8 + 2m = -12 + 0 -8 + 2m = -12 Add '8' to each side of the equation. -8 + 8 + 2m = -12 + 8 Combine like terms: -8 + 8 = 0 0 + 2m = -12 + 8 2m = -12 + 8 Combine like terms: -12 + 8 = -4 2m = -4 Divide each side by '2'. m = -2 Simplifying m = -2
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