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Simplifying 7 + 10m + -4 = 6m + 31 + -3m Reorder the terms: 7 + -4 + 10m = 6m + 31 + -3m Combine like terms: 7 + -4 = 3 3 + 10m = 6m + 31 + -3m Reorder the terms: 3 + 10m = 31 + 6m + -3m Combine like terms: 6m + -3m = 3m 3 + 10m = 31 + 3m Solving 3 + 10m = 31 + 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 + 10m + -3m = 31 + 3m + -3m Combine like terms: 10m + -3m = 7m 3 + 7m = 31 + 3m + -3m Combine like terms: 3m + -3m = 0 3 + 7m = 31 + 0 3 + 7m = 31 Add '-3' to each side of the equation. 3 + -3 + 7m = 31 + -3 Combine like terms: 3 + -3 = 0 0 + 7m = 31 + -3 7m = 31 + -3 Combine like terms: 31 + -3 = 28 7m = 28 Divide each side by '7'. m = 4 Simplifying m = 4
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