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Simplifying 5m + -8 + 4m = 5 + (3m + 13) Reorder the terms: -8 + 5m + 4m = 5 + (3m + 13) Combine like terms: 5m + 4m = 9m -8 + 9m = 5 + (3m + 13) Reorder the terms: -8 + 9m = 5 + (13 + 3m) Remove parenthesis around (13 + 3m) -8 + 9m = 5 + 13 + 3m Combine like terms: 5 + 13 = 18 -8 + 9m = 18 + 3m Solving -8 + 9m = 18 + 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 + 9m + -3m = 18 + 3m + -3m Combine like terms: 9m + -3m = 6m -8 + 6m = 18 + 3m + -3m Combine like terms: 3m + -3m = 0 -8 + 6m = 18 + 0 -8 + 6m = 18 Add '8' to each side of the equation. -8 + 8 + 6m = 18 + 8 Combine like terms: -8 + 8 = 0 0 + 6m = 18 + 8 6m = 18 + 8 Combine like terms: 18 + 8 = 26 6m = 26 Divide each side by '6'. m = 4.333333333 Simplifying m = 4.333333333
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