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Simplifying 3(m + -2n) + -4(m + -5n) = 0 (m * 3 + -2n * 3) + -4(m + -5n) = 0 (3m + -6n) + -4(m + -5n) = 0 3m + -6n + (m * -4 + -5n * -4) = 0 3m + -6n + (-4m + 20n) = 0 Reorder the terms: 3m + -4m + -6n + 20n = 0 Combine like terms: 3m + -4m = -1m -1m + -6n + 20n = 0 Combine like terms: -6n + 20n = 14n -1m + 14n = 0 Solving -1m + 14n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-14n' to each side of the equation. -1m + 14n + -14n = 0 + -14n Combine like terms: 14n + -14n = 0 -1m + 0 = 0 + -14n -1m = 0 + -14n Remove the zero: -1m = -14n Divide each side by '-1'. m = 14n Simplifying m = 14n
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