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Simplifying 8 + -2n + -5 + -4m = 5m + 3 Reorder the terms: 8 + -5 + -4m + -2n = 5m + 3 Combine like terms: 8 + -5 = 3 3 + -4m + -2n = 5m + 3 Reorder the terms: 3 + -4m + -2n = 3 + 5m Add '-3' to each side of the equation. 3 + -4m + -3 + -2n = 3 + -3 + 5m Reorder the terms: 3 + -3 + -4m + -2n = 3 + -3 + 5m Combine like terms: 3 + -3 = 0 0 + -4m + -2n = 3 + -3 + 5m -4m + -2n = 3 + -3 + 5m Combine like terms: 3 + -3 = 0 -4m + -2n = 0 + 5m -4m + -2n = 5m Solving -4m + -2n = 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. -4m + -5m + -2n = 5m + -5m Combine like terms: -4m + -5m = -9m -9m + -2n = 5m + -5m Combine like terms: 5m + -5m = 0 -9m + -2n = 0 Add '2n' to each side of the equation. -9m + -2n + 2n = 0 + 2n Combine like terms: -2n + 2n = 0 -9m + 0 = 0 + 2n -9m = 0 + 2n Remove the zero: -9m = 2n Divide each side by '-9'. m = -0.2222222222n Simplifying m = -0.2222222222n
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