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Simplifying -3(1m + -2n) = 5m (1m * -3 + -2n * -3) = 5m (-3m + 6n) = 5m Solving -3m + 6n = 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. -3m + -5m + 6n = 5m + -5m Combine like terms: -3m + -5m = -8m -8m + 6n = 5m + -5m Combine like terms: 5m + -5m = 0 -8m + 6n = 0 Add '-6n' to each side of the equation. -8m + 6n + -6n = 0 + -6n Combine like terms: 6n + -6n = 0 -8m + 0 = 0 + -6n -8m = 0 + -6n Remove the zero: -8m = -6n Divide each side by '-8'. m = 0.75n Simplifying m = 0.75n
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