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Simplifying -4(n + -3) + -1(3n + -5) = -3 + (7n + -6) Reorder the terms: -4(-3 + n) + -1(3n + -5) = -3 + (7n + -6) (-3 * -4 + n * -4) + -1(3n + -5) = -3 + (7n + -6) (12 + -4n) + -1(3n + -5) = -3 + (7n + -6) Reorder the terms: 12 + -4n + -1(-5 + 3n) = -3 + (7n + -6) 12 + -4n + (-5 * -1 + 3n * -1) = -3 + (7n + -6) 12 + -4n + (5 + -3n) = -3 + (7n + -6) Reorder the terms: 12 + 5 + -4n + -3n = -3 + (7n + -6) Combine like terms: 12 + 5 = 17 17 + -4n + -3n = -3 + (7n + -6) Combine like terms: -4n + -3n = -7n 17 + -7n = -3 + (7n + -6) Reorder the terms: 17 + -7n = -3 + (-6 + 7n) Remove parenthesis around (-6 + 7n) 17 + -7n = -3 + -6 + 7n Combine like terms: -3 + -6 = -9 17 + -7n = -9 + 7n Solving 17 + -7n = -9 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 17 + -7n + -7n = -9 + 7n + -7n Combine like terms: -7n + -7n = -14n 17 + -14n = -9 + 7n + -7n Combine like terms: 7n + -7n = 0 17 + -14n = -9 + 0 17 + -14n = -9 Add '-17' to each side of the equation. 17 + -17 + -14n = -9 + -17 Combine like terms: 17 + -17 = 0 0 + -14n = -9 + -17 -14n = -9 + -17 Combine like terms: -9 + -17 = -26 -14n = -26 Divide each side by '-14'. n = 1.857142857 Simplifying n = 1.857142857
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