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Simplifying (8m + -1n) + -1(3m + 7n) = 0 Remove parenthesis around (8m + -1n) 8m + -1n + -1(3m + 7n) = 0 8m + -1n + (3m * -1 + 7n * -1) = 0 8m + -1n + (-3m + -7n) = 0 Reorder the terms: 8m + -3m + -1n + -7n = 0 Combine like terms: 8m + -3m = 5m 5m + -1n + -7n = 0 Combine like terms: -1n + -7n = -8n 5m + -8n = 0 Solving 5m + -8n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8n' to each side of the equation. 5m + -8n + 8n = 0 + 8n Combine like terms: -8n + 8n = 0 5m + 0 = 0 + 8n 5m = 0 + 8n Remove the zero: 5m = 8n Divide each side by '5'. m = 1.6n Simplifying m = 1.6n
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