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Simplifying 4(m + -5n) + -3(5n + -1m) = 0 (m * 4 + -5n * 4) + -3(5n + -1m) = 0 (4m + -20n) + -3(5n + -1m) = 0 Reorder the terms: 4m + -20n + -3(-1m + 5n) = 0 4m + -20n + (-1m * -3 + 5n * -3) = 0 4m + -20n + (3m + -15n) = 0 Reorder the terms: 4m + 3m + -20n + -15n = 0 Combine like terms: 4m + 3m = 7m 7m + -20n + -15n = 0 Combine like terms: -20n + -15n = -35n 7m + -35n = 0 Solving 7m + -35n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '35n' to each side of the equation. 7m + -35n + 35n = 0 + 35n Combine like terms: -35n + 35n = 0 7m + 0 = 0 + 35n 7m = 0 + 35n Remove the zero: 7m = 35n Divide each side by '7'. m = 5n Simplifying m = 5n
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