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Simplifying 13 + -1(5m + 8) = 3 + 3m + -14 Reorder the terms: 13 + -1(8 + 5m) = 3 + 3m + -14 13 + (8 * -1 + 5m * -1) = 3 + 3m + -14 13 + (-8 + -5m) = 3 + 3m + -14 Combine like terms: 13 + -8 = 5 5 + -5m = 3 + 3m + -14 Reorder the terms: 5 + -5m = 3 + -14 + 3m Combine like terms: 3 + -14 = -11 5 + -5m = -11 + 3m Solving 5 + -5m = -11 + 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. 5 + -5m + -3m = -11 + 3m + -3m Combine like terms: -5m + -3m = -8m 5 + -8m = -11 + 3m + -3m Combine like terms: 3m + -3m = 0 5 + -8m = -11 + 0 5 + -8m = -11 Add '-5' to each side of the equation. 5 + -5 + -8m = -11 + -5 Combine like terms: 5 + -5 = 0 0 + -8m = -11 + -5 -8m = -11 + -5 Combine like terms: -11 + -5 = -16 -8m = -16 Divide each side by '-8'. m = 2 Simplifying m = 2
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