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Simplifying (m + -1n) + -1(6m + 7n) = 0 Remove parenthesis around (m + -1n) m + -1n + -1(6m + 7n) = 0 m + -1n + (6m * -1 + 7n * -1) = 0 m + -1n + (-6m + -7n) = 0 Reorder the terms: m + -6m + -1n + -7n = 0 Combine like terms: m + -6m = -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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