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Simplifying 12m + 31n = -8m Solving 12m + 31n = -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. 12m + 8m + 31n = -8m + 8m Combine like terms: 12m + 8m = 20m 20m + 31n = -8m + 8m Combine like terms: -8m + 8m = 0 20m + 31n = 0 Add '-31n' to each side of the equation. 20m + 31n + -31n = 0 + -31n Combine like terms: 31n + -31n = 0 20m + 0 = 0 + -31n 20m = 0 + -31n Remove the zero: 20m = -31n Divide each side by '20'. m = -1.55n Simplifying m = -1.55n
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