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Simplifying 8m + 3n + -3(m + -4n) = 0 8m + 3n + (m * -3 + -4n * -3) = 0 8m + 3n + (-3m + 12n) = 0 Reorder the terms: 8m + -3m + 3n + 12n = 0 Combine like terms: 8m + -3m = 5m 5m + 3n + 12n = 0 Combine like terms: 3n + 12n = 15n 5m + 15n = 0 Solving 5m + 15n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15n' to each side of the equation. 5m + 15n + -15n = 0 + -15n Combine like terms: 15n + -15n = 0 5m + 0 = 0 + -15n 5m = 0 + -15n Remove the zero: 5m = -15n Divide each side by '5'. m = -3n Simplifying m = -3n
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