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Simplifying 12 + -1(2m + 4) = 2 + 2m + -14 Reorder the terms: 12 + -1(4 + 2m) = 2 + 2m + -14 12 + (4 * -1 + 2m * -1) = 2 + 2m + -14 12 + (-4 + -2m) = 2 + 2m + -14 Combine like terms: 12 + -4 = 8 8 + -2m = 2 + 2m + -14 Reorder the terms: 8 + -2m = 2 + -14 + 2m Combine like terms: 2 + -14 = -12 8 + -2m = -12 + 2m Solving 8 + -2m = -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 + -2m + -2m = -12 + 2m + -2m Combine like terms: -2m + -2m = -4m 8 + -4m = -12 + 2m + -2m Combine like terms: 2m + -2m = 0 8 + -4m = -12 + 0 8 + -4m = -12 Add '-8' to each side of the equation. 8 + -8 + -4m = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -4m = -12 + -8 -4m = -12 + -8 Combine like terms: -12 + -8 = -20 -4m = -20 Divide each side by '-4'. m = 5 Simplifying m = 5
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