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Simplifying (8m + -1n) + -1(7n + m) + 3m = 0 Remove parenthesis around (8m + -1n) 8m + -1n + -1(7n + m) + 3m = 0 Reorder the terms: 8m + -1n + -1(m + 7n) + 3m = 0 8m + -1n + (m * -1 + 7n * -1) + 3m = 0 8m + -1n + (-1m + -7n) + 3m = 0 Reorder the terms: 8m + -1m + 3m + -1n + -7n = 0 Combine like terms: 8m + -1m = 7m 7m + 3m + -1n + -7n = 0 Combine like terms: 7m + 3m = 10m 10m + -1n + -7n = 0 Combine like terms: -1n + -7n = -8n 10m + -8n = 0 Solving 10m + -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. 10m + -8n + 8n = 0 + 8n Combine like terms: -8n + 8n = 0 10m + 0 = 0 + 8n 10m = 0 + 8n Remove the zero: 10m = 8n Divide each side by '10'. m = 0.8n Simplifying m = 0.8n
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