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Simplifying 5m + -8 + 4m = 5 + -1(3m + 13) Reorder the terms: -8 + 5m + 4m = 5 + -1(3m + 13) Combine like terms: 5m + 4m = 9m -8 + 9m = 5 + -1(3m + 13) Reorder the terms: -8 + 9m = 5 + -1(13 + 3m) -8 + 9m = 5 + (13 * -1 + 3m * -1) -8 + 9m = 5 + (-13 + -3m) Combine like terms: 5 + -13 = -8 -8 + 9m = -8 + -3m Add '8' to each side of the equation. -8 + 8 + 9m = -8 + 8 + -3m Combine like terms: -8 + 8 = 0 0 + 9m = -8 + 8 + -3m 9m = -8 + 8 + -3m Combine like terms: -8 + 8 = 0 9m = 0 + -3m 9m = -3m Solving 9m = -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. 9m + 3m = -3m + 3m Combine like terms: 9m + 3m = 12m 12m = -3m + 3m Combine like terms: -3m + 3m = 0 12m = 0 Divide each side by '12'. m = 0 Simplifying m = 0
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