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Simplifying 4 + 5m + -1 = 6m + 13 + -3m Reorder the terms: 4 + -1 + 5m = 6m + 13 + -3m Combine like terms: 4 + -1 = 3 3 + 5m = 6m + 13 + -3m Reorder the terms: 3 + 5m = 13 + 6m + -3m Combine like terms: 6m + -3m = 3m 3 + 5m = 13 + 3m Solving 3 + 5m = 13 + 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. 3 + 5m + -3m = 13 + 3m + -3m Combine like terms: 5m + -3m = 2m 3 + 2m = 13 + 3m + -3m Combine like terms: 3m + -3m = 0 3 + 2m = 13 + 0 3 + 2m = 13 Add '-3' to each side of the equation. 3 + -3 + 2m = 13 + -3 Combine like terms: 3 + -3 = 0 0 + 2m = 13 + -3 2m = 13 + -3 Combine like terms: 13 + -3 = 10 2m = 10 Divide each side by '2'. m = 5 Simplifying m = 5
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