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Simplifying 31 = 8m + -41 Reorder the terms: 31 = -41 + 8m Solving 31 = -41 + 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. 31 + -8m = -41 + 8m + -8m Combine like terms: 8m + -8m = 0 31 + -8m = -41 + 0 31 + -8m = -41 Add '-31' to each side of the equation. 31 + -31 + -8m = -41 + -31 Combine like terms: 31 + -31 = 0 0 + -8m = -41 + -31 -8m = -41 + -31 Combine like terms: -41 + -31 = -72 -8m = -72 Divide each side by '-8'. m = 9 Simplifying m = 9
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