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Simplifying 3m + 2(m + -1n) + -2(m + n) = 0 3m + (m * 2 + -1n * 2) + -2(m + n) = 0 3m + (2m + -2n) + -2(m + n) = 0 3m + 2m + -2n + (m * -2 + n * -2) = 0 3m + 2m + -2n + (-2m + -2n) = 0 Reorder the terms: 3m + 2m + -2m + -2n + -2n = 0 Combine like terms: 3m + 2m = 5m 5m + -2m + -2n + -2n = 0 Combine like terms: 5m + -2m = 3m 3m + -2n + -2n = 0 Combine like terms: -2n + -2n = -4n 3m + -4n = 0 Solving 3m + -4n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4n' to each side of the equation. 3m + -4n + 4n = 0 + 4n Combine like terms: -4n + 4n = 0 3m + 0 = 0 + 4n 3m = 0 + 4n Remove the zero: 3m = 4n Divide each side by '3'. m = 1.333333333n Simplifying m = 1.333333333n
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