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Simplifying 4(2m + -2n) + 3(7m + n) = 0 (2m * 4 + -2n * 4) + 3(7m + n) = 0 (8m + -8n) + 3(7m + n) = 0 8m + -8n + (7m * 3 + n * 3) = 0 8m + -8n + (21m + 3n) = 0 Reorder the terms: 8m + 21m + -8n + 3n = 0 Combine like terms: 8m + 21m = 29m 29m + -8n + 3n = 0 Combine like terms: -8n + 3n = -5n 29m + -5n = 0 Solving 29m + -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. 29m + -5n + 5n = 0 + 5n Combine like terms: -5n + 5n = 0 29m + 0 = 0 + 5n 29m = 0 + 5n Remove the zero: 29m = 5n Divide each side by '29'. m = 0.1724137931n Simplifying m = 0.1724137931n
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