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Simplifying 8 + 13m + -5 = 9m + 75 + -4m Reorder the terms: 8 + -5 + 13m = 9m + 75 + -4m Combine like terms: 8 + -5 = 3 3 + 13m = 9m + 75 + -4m Reorder the terms: 3 + 13m = 75 + 9m + -4m Combine like terms: 9m + -4m = 5m 3 + 13m = 75 + 5m Solving 3 + 13m = 75 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 3 + 13m + -5m = 75 + 5m + -5m Combine like terms: 13m + -5m = 8m 3 + 8m = 75 + 5m + -5m Combine like terms: 5m + -5m = 0 3 + 8m = 75 + 0 3 + 8m = 75 Add '-3' to each side of the equation. 3 + -3 + 8m = 75 + -3 Combine like terms: 3 + -3 = 0 0 + 8m = 75 + -3 8m = 75 + -3 Combine like terms: 75 + -3 = 72 8m = 72 Divide each side by '8'. m = 9 Simplifying m = 9
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