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