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Simplifying 3(m + -1n) + 5n + -7n = 0 (m * 3 + -1n * 3) + 5n + -7n = 0 (3m + -3n) + 5n + -7n = 0 Combine like terms: -3n + 5n = 2n 3m + 2n + -7n = 0 Combine like terms: 2n + -7n = -5n 3m + -5n = 0 Solving 3m + -5n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5n' to each side of the equation. 3m + -5n + 5n = 0 + 5n Combine like terms: -5n + 5n = 0 3m + 0 = 0 + 5n 3m = 0 + 5n Remove the zero: 3m = 5n Divide each side by '3'. m = 1.666666667n Simplifying m = 1.666666667n
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