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Simplifying 4 + 12m + -3 = 9m + 31 + -7m Reorder the terms: 4 + -3 + 12m = 9m + 31 + -7m Combine like terms: 4 + -3 = 1 1 + 12m = 9m + 31 + -7m Reorder the terms: 1 + 12m = 31 + 9m + -7m Combine like terms: 9m + -7m = 2m 1 + 12m = 31 + 2m Solving 1 + 12m = 31 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 1 + 12m + -2m = 31 + 2m + -2m Combine like terms: 12m + -2m = 10m 1 + 10m = 31 + 2m + -2m Combine like terms: 2m + -2m = 0 1 + 10m = 31 + 0 1 + 10m = 31 Add '-1' to each side of the equation. 1 + -1 + 10m = 31 + -1 Combine like terms: 1 + -1 = 0 0 + 10m = 31 + -1 10m = 31 + -1 Combine like terms: 31 + -1 = 30 10m = 30 Divide each side by '10'. m = 3 Simplifying m = 3
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