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Simplifying -5(n + -4) + -1(3n + -6) = -4 + (6n + -4) Reorder the terms: -5(-4 + n) + -1(3n + -6) = -4 + (6n + -4) (-4 * -5 + n * -5) + -1(3n + -6) = -4 + (6n + -4) (20 + -5n) + -1(3n + -6) = -4 + (6n + -4) Reorder the terms: 20 + -5n + -1(-6 + 3n) = -4 + (6n + -4) 20 + -5n + (-6 * -1 + 3n * -1) = -4 + (6n + -4) 20 + -5n + (6 + -3n) = -4 + (6n + -4) Reorder the terms: 20 + 6 + -5n + -3n = -4 + (6n + -4) Combine like terms: 20 + 6 = 26 26 + -5n + -3n = -4 + (6n + -4) Combine like terms: -5n + -3n = -8n 26 + -8n = -4 + (6n + -4) Reorder the terms: 26 + -8n = -4 + (-4 + 6n) Remove parenthesis around (-4 + 6n) 26 + -8n = -4 + -4 + 6n Combine like terms: -4 + -4 = -8 26 + -8n = -8 + 6n Solving 26 + -8n = -8 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 26 + -8n + -6n = -8 + 6n + -6n Combine like terms: -8n + -6n = -14n 26 + -14n = -8 + 6n + -6n Combine like terms: 6n + -6n = 0 26 + -14n = -8 + 0 26 + -14n = -8 Add '-26' to each side of the equation. 26 + -26 + -14n = -8 + -26 Combine like terms: 26 + -26 = 0 0 + -14n = -8 + -26 -14n = -8 + -26 Combine like terms: -8 + -26 = -34 -14n = -34 Divide each side by '-14'. n = 2.428571429 Simplifying n = 2.428571429
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