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