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Simplifying 3(m + -2n) + -4(2m + n) = 0 (m * 3 + -2n * 3) + -4(2m + n) = 0 (3m + -6n) + -4(2m + n) = 0 3m + -6n + (2m * -4 + n * -4) = 0 3m + -6n + (-8m + -4n) = 0 Reorder the terms: 3m + -8m + -6n + -4n = 0 Combine like terms: 3m + -8m = -5m -5m + -6n + -4n = 0 Combine like terms: -6n + -4n = -10n -5m + -10n = 0 Solving -5m + -10n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '10n' to each side of the equation. -5m + -10n + 10n = 0 + 10n Combine like terms: -10n + 10n = 0 -5m + 0 = 0 + 10n -5m = 0 + 10n Remove the zero: -5m = 10n Divide each side by '-5'. m = -2n Simplifying m = -2n
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