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Simplifying 7 + 13m + -6 = 8m + 51 + -5m Reorder the terms: 7 + -6 + 13m = 8m + 51 + -5m Combine like terms: 7 + -6 = 1 1 + 13m = 8m + 51 + -5m Reorder the terms: 1 + 13m = 51 + 8m + -5m Combine like terms: 8m + -5m = 3m 1 + 13m = 51 + 3m Solving 1 + 13m = 51 + 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. 1 + 13m + -3m = 51 + 3m + -3m Combine like terms: 13m + -3m = 10m 1 + 10m = 51 + 3m + -3m Combine like terms: 3m + -3m = 0 1 + 10m = 51 + 0 1 + 10m = 51 Add '-1' to each side of the equation. 1 + -1 + 10m = 51 + -1 Combine like terms: 1 + -1 = 0 0 + 10m = 51 + -1 10m = 51 + -1 Combine like terms: 51 + -1 = 50 10m = 50 Divide each side by '10'. m = 5 Simplifying m = 5
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