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