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Simplifying 12 + -1(2m + 8) = 3 + 3m + -14 Reorder the terms: 12 + -1(8 + 2m) = 3 + 3m + -14 12 + (8 * -1 + 2m * -1) = 3 + 3m + -14 12 + (-8 + -2m) = 3 + 3m + -14 Combine like terms: 12 + -8 = 4 4 + -2m = 3 + 3m + -14 Reorder the terms: 4 + -2m = 3 + -14 + 3m Combine like terms: 3 + -14 = -11 4 + -2m = -11 + 3m Solving 4 + -2m = -11 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 4 + -2m + -3m = -11 + 3m + -3m Combine like terms: -2m + -3m = -5m 4 + -5m = -11 + 3m + -3m Combine like terms: 3m + -3m = 0 4 + -5m = -11 + 0 4 + -5m = -11 Add '-4' to each side of the equation. 4 + -4 + -5m = -11 + -4 Combine like terms: 4 + -4 = 0 0 + -5m = -11 + -4 -5m = -11 + -4 Combine like terms: -11 + -4 = -15 -5m = -15 Divide each side by '-5'. m = 3 Simplifying m = 3
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