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Simplifying 12 + -1(5m + 4) = 2 + 4m + -12 Reorder the terms: 12 + -1(4 + 5m) = 2 + 4m + -12 12 + (4 * -1 + 5m * -1) = 2 + 4m + -12 12 + (-4 + -5m) = 2 + 4m + -12 Combine like terms: 12 + -4 = 8 8 + -5m = 2 + 4m + -12 Reorder the terms: 8 + -5m = 2 + -12 + 4m Combine like terms: 2 + -12 = -10 8 + -5m = -10 + 4m Solving 8 + -5m = -10 + 4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-4m' to each side of the equation. 8 + -5m + -4m = -10 + 4m + -4m Combine like terms: -5m + -4m = -9m 8 + -9m = -10 + 4m + -4m Combine like terms: 4m + -4m = 0 8 + -9m = -10 + 0 8 + -9m = -10 Add '-8' to each side of the equation. 8 + -8 + -9m = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -9m = -10 + -8 -9m = -10 + -8 Combine like terms: -10 + -8 = -18 -9m = -18 Divide each side by '-9'. m = 2 Simplifying m = 2
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