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Simplifying 2(7m + 4n) + 6(m + 3n) = 0 (7m * 2 + 4n * 2) + 6(m + 3n) = 0 (14m + 8n) + 6(m + 3n) = 0 14m + 8n + (m * 6 + 3n * 6) = 0 14m + 8n + (6m + 18n) = 0 Reorder the terms: 14m + 6m + 8n + 18n = 0 Combine like terms: 14m + 6m = 20m 20m + 8n + 18n = 0 Combine like terms: 8n + 18n = 26n 20m + 26n = 0 Solving 20m + 26n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-26n' to each side of the equation. 20m + 26n + -26n = 0 + -26n Combine like terms: 26n + -26n = 0 20m + 0 = 0 + -26n 20m = 0 + -26n Remove the zero: 20m = -26n Divide each side by '20'. m = -1.3n Simplifying m = -1.3n
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