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Simplifying 3(5 + -1n) + -4(2n + -7) = 11 + -4(17 + -1m) (5 * 3 + -1n * 3) + -4(2n + -7) = 11 + -4(17 + -1m) (15 + -3n) + -4(2n + -7) = 11 + -4(17 + -1m) Reorder the terms: 15 + -3n + -4(-7 + 2n) = 11 + -4(17 + -1m) 15 + -3n + (-7 * -4 + 2n * -4) = 11 + -4(17 + -1m) 15 + -3n + (28 + -8n) = 11 + -4(17 + -1m) Reorder the terms: 15 + 28 + -3n + -8n = 11 + -4(17 + -1m) Combine like terms: 15 + 28 = 43 43 + -3n + -8n = 11 + -4(17 + -1m) Combine like terms: -3n + -8n = -11n 43 + -11n = 11 + -4(17 + -1m) 43 + -11n = 11 + (17 * -4 + -1m * -4) 43 + -11n = 11 + (-68 + 4m) Combine like terms: 11 + -68 = -57 43 + -11n = -57 + 4m Solving 43 + -11n = -57 + 4m Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + -11n = -57 + -43 + 4m Combine like terms: 43 + -43 = 0 0 + -11n = -57 + -43 + 4m -11n = -57 + -43 + 4m Combine like terms: -57 + -43 = -100 -11n = -100 + 4m Divide each side by '-11'. n = 9.090909091 + -0.3636363636m Simplifying n = 9.090909091 + -0.3636363636m
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