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Simplifying 9m + 45 + -3m + 6 = 8m + 31 Reorder the terms: 45 + 6 + 9m + -3m = 8m + 31 Combine like terms: 45 + 6 = 51 51 + 9m + -3m = 8m + 31 Combine like terms: 9m + -3m = 6m 51 + 6m = 8m + 31 Reorder the terms: 51 + 6m = 31 + 8m Solving 51 + 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. 51 + 6m + -8m = 31 + 8m + -8m Combine like terms: 6m + -8m = -2m 51 + -2m = 31 + 8m + -8m Combine like terms: 8m + -8m = 0 51 + -2m = 31 + 0 51 + -2m = 31 Add '-51' to each side of the equation. 51 + -51 + -2m = 31 + -51 Combine like terms: 51 + -51 = 0 0 + -2m = 31 + -51 -2m = 31 + -51 Combine like terms: 31 + -51 = -20 -2m = -20 Divide each side by '-2'. m = 10 Simplifying m = 10
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