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Simplifying 12 + -1(2m + 5) = 2 + 3m + -15 Reorder the terms: 12 + -1(5 + 2m) = 2 + 3m + -15 12 + (5 * -1 + 2m * -1) = 2 + 3m + -15 12 + (-5 + -2m) = 2 + 3m + -15 Combine like terms: 12 + -5 = 7 7 + -2m = 2 + 3m + -15 Reorder the terms: 7 + -2m = 2 + -15 + 3m Combine like terms: 2 + -15 = -13 7 + -2m = -13 + 3m Solving 7 + -2m = -13 + 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. 7 + -2m + -3m = -13 + 3m + -3m Combine like terms: -2m + -3m = -5m 7 + -5m = -13 + 3m + -3m Combine like terms: 3m + -3m = 0 7 + -5m = -13 + 0 7 + -5m = -13 Add '-7' to each side of the equation. 7 + -7 + -5m = -13 + -7 Combine like terms: 7 + -7 = 0 0 + -5m = -13 + -7 -5m = -13 + -7 Combine like terms: -13 + -7 = -20 -5m = -20 Divide each side by '-5'. m = 4 Simplifying m = 4
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