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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 = 7m 7m + -2n + -4n = 0 Combine like terms: -2n + -4n = -6n 7m + -6n = 0 Solving 7m + -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. 7m + -6n + 6n = 0 + 6n Combine like terms: -6n + 6n = 0 7m + 0 = 0 + 6n 7m = 0 + 6n Remove the zero: 7m = 6n Divide each side by '7'. m = 0.8571428571n Simplifying m = 0.8571428571n
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