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Simplifying 5(m + -3n) + 2(3m + 4n) = 0 (m * 5 + -3n * 5) + 2(3m + 4n) = 0 (5m + -15n) + 2(3m + 4n) = 0 5m + -15n + (3m * 2 + 4n * 2) = 0 5m + -15n + (6m + 8n) = 0 Reorder the terms: 5m + 6m + -15n + 8n = 0 Combine like terms: 5m + 6m = 11m 11m + -15n + 8n = 0 Combine like terms: -15n + 8n = -7n 11m + -7n = 0 Solving 11m + -7n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7n' to each side of the equation. 11m + -7n + 7n = 0 + 7n Combine like terms: -7n + 7n = 0 11m + 0 = 0 + 7n 11m = 0 + 7n Remove the zero: 11m = 7n Divide each side by '11'. m = 0.6363636364n Simplifying m = 0.6363636364n
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