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Simplifying 14 + -1(5m + 5) = 3 + 4m + -12 Reorder the terms: 14 + -1(5 + 5m) = 3 + 4m + -12 14 + (5 * -1 + 5m * -1) = 3 + 4m + -12 14 + (-5 + -5m) = 3 + 4m + -12 Combine like terms: 14 + -5 = 9 9 + -5m = 3 + 4m + -12 Reorder the terms: 9 + -5m = 3 + -12 + 4m Combine like terms: 3 + -12 = -9 9 + -5m = -9 + 4m Solving 9 + -5m = -9 + 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. 9 + -5m + -4m = -9 + 4m + -4m Combine like terms: -5m + -4m = -9m 9 + -9m = -9 + 4m + -4m Combine like terms: 4m + -4m = 0 9 + -9m = -9 + 0 9 + -9m = -9 Add '-9' to each side of the equation. 9 + -9 + -9m = -9 + -9 Combine like terms: 9 + -9 = 0 0 + -9m = -9 + -9 -9m = -9 + -9 Combine like terms: -9 + -9 = -18 -9m = -18 Divide each side by '-9'. m = 2 Simplifying m = 2
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