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Simplifying 15 + -1(2m + 3) = 4 + 3m + -17 Reorder the terms: 15 + -1(3 + 2m) = 4 + 3m + -17 15 + (3 * -1 + 2m * -1) = 4 + 3m + -17 15 + (-3 + -2m) = 4 + 3m + -17 Combine like terms: 15 + -3 = 12 12 + -2m = 4 + 3m + -17 Reorder the terms: 12 + -2m = 4 + -17 + 3m Combine like terms: 4 + -17 = -13 12 + -2m = -13 + 3m Solving 12 + -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. 12 + -2m + -3m = -13 + 3m + -3m Combine like terms: -2m + -3m = -5m 12 + -5m = -13 + 3m + -3m Combine like terms: 3m + -3m = 0 12 + -5m = -13 + 0 12 + -5m = -13 Add '-12' to each side of the equation. 12 + -12 + -5m = -13 + -12 Combine like terms: 12 + -12 = 0 0 + -5m = -13 + -12 -5m = -13 + -12 Combine like terms: -13 + -12 = -25 -5m = -25 Divide each side by '-5'. m = 5 Simplifying m = 5
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