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Simplifying 7 + 13m + -4 = 9m + 43 + -6m Reorder the terms: 7 + -4 + 13m = 9m + 43 + -6m Combine like terms: 7 + -4 = 3 3 + 13m = 9m + 43 + -6m Reorder the terms: 3 + 13m = 43 + 9m + -6m Combine like terms: 9m + -6m = 3m 3 + 13m = 43 + 3m Solving 3 + 13m = 43 + 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 + 13m + -3m = 43 + 3m + -3m Combine like terms: 13m + -3m = 10m 3 + 10m = 43 + 3m + -3m Combine like terms: 3m + -3m = 0 3 + 10m = 43 + 0 3 + 10m = 43 Add '-3' to each side of the equation. 3 + -3 + 10m = 43 + -3 Combine like terms: 3 + -3 = 0 0 + 10m = 43 + -3 10m = 43 + -3 Combine like terms: 43 + -3 = 40 10m = 40 Divide each side by '10'. m = 4 Simplifying m = 4
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