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Simplifying 9m + 5 + -3m + -2 = 8m + 31 Reorder the terms: 5 + -2 + 9m + -3m = 8m + 31 Combine like terms: 5 + -2 = 3 3 + 9m + -3m = 8m + 31 Combine like terms: 9m + -3m = 6m 3 + 6m = 8m + 31 Reorder the terms: 3 + 6m = 31 + 8m Solving 3 + 6m = 31 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 3 + 6m + -8m = 31 + 8m + -8m Combine like terms: 6m + -8m = -2m 3 + -2m = 31 + 8m + -8m Combine like terms: 8m + -8m = 0 3 + -2m = 31 + 0 3 + -2m = 31 Add '-3' to each side of the equation. 3 + -3 + -2m = 31 + -3 Combine like terms: 3 + -3 = 0 0 + -2m = 31 + -3 -2m = 31 + -3 Combine like terms: 31 + -3 = 28 -2m = 28 Divide each side by '-2'. m = -14 Simplifying m = -14
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