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Simplifying 13 + -1(2m + 5) = 5 + 3m + -17 Reorder the terms: 13 + -1(5 + 2m) = 5 + 3m + -17 13 + (5 * -1 + 2m * -1) = 5 + 3m + -17 13 + (-5 + -2m) = 5 + 3m + -17 Combine like terms: 13 + -5 = 8 8 + -2m = 5 + 3m + -17 Reorder the terms: 8 + -2m = 5 + -17 + 3m Combine like terms: 5 + -17 = -12 8 + -2m = -12 + 3m Solving 8 + -2m = -12 + 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. 8 + -2m + -3m = -12 + 3m + -3m Combine like terms: -2m + -3m = -5m 8 + -5m = -12 + 3m + -3m Combine like terms: 3m + -3m = 0 8 + -5m = -12 + 0 8 + -5m = -12 Add '-8' to each side of the equation. 8 + -8 + -5m = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -5m = -12 + -8 -5m = -12 + -8 Combine like terms: -12 + -8 = -20 -5m = -20 Divide each side by '-5'. m = 4 Simplifying m = 4
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