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Simplifying 4(2m + -1n) + -3(m + -3n) = 0 (2m * 4 + -1n * 4) + -3(m + -3n) = 0 (8m + -4n) + -3(m + -3n) = 0 8m + -4n + (m * -3 + -3n * -3) = 0 8m + -4n + (-3m + 9n) = 0 Reorder the terms: 8m + -3m + -4n + 9n = 0 Combine like terms: 8m + -3m = 5m 5m + -4n + 9n = 0 Combine like terms: -4n + 9n = 5n 5m + 5n = 0 Solving 5m + 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. 5m + 5n + -5n = 0 + -5n Combine like terms: 5n + -5n = 0 5m + 0 = 0 + -5n 5m = 0 + -5n Remove the zero: 5m = -5n Divide each side by '5'. m = -1n Simplifying m = -1n
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