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Simplifying (m + -8n) + -1(-3m + 9n) = 0 Remove parenthesis around (m + -8n) m + -8n + -1(-3m + 9n) = 0 m + -8n + (-3m * -1 + 9n * -1) = 0 m + -8n + (3m + -9n) = 0 Reorder the terms: m + 3m + -8n + -9n = 0 Combine like terms: m + 3m = 4m 4m + -8n + -9n = 0 Combine like terms: -8n + -9n = -17n 4m + -17n = 0 Solving 4m + -17n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '17n' to each side of the equation. 4m + -17n + 17n = 0 + 17n Combine like terms: -17n + 17n = 0 4m + 0 = 0 + 17n 4m = 0 + 17n Remove the zero: 4m = 17n Divide each side by '4'. m = 4.25n Simplifying m = 4.25n
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