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Simplifying -5(n + -3) + -1(3n + -4) = -4 + (6n + -3) Reorder the terms: -5(-3 + n) + -1(3n + -4) = -4 + (6n + -3) (-3 * -5 + n * -5) + -1(3n + -4) = -4 + (6n + -3) (15 + -5n) + -1(3n + -4) = -4 + (6n + -3) Reorder the terms: 15 + -5n + -1(-4 + 3n) = -4 + (6n + -3) 15 + -5n + (-4 * -1 + 3n * -1) = -4 + (6n + -3) 15 + -5n + (4 + -3n) = -4 + (6n + -3) Reorder the terms: 15 + 4 + -5n + -3n = -4 + (6n + -3) Combine like terms: 15 + 4 = 19 19 + -5n + -3n = -4 + (6n + -3) Combine like terms: -5n + -3n = -8n 19 + -8n = -4 + (6n + -3) Reorder the terms: 19 + -8n = -4 + (-3 + 6n) Remove parenthesis around (-3 + 6n) 19 + -8n = -4 + -3 + 6n Combine like terms: -4 + -3 = -7 19 + -8n = -7 + 6n Solving 19 + -8n = -7 + 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. 19 + -8n + -6n = -7 + 6n + -6n Combine like terms: -8n + -6n = -14n 19 + -14n = -7 + 6n + -6n Combine like terms: 6n + -6n = 0 19 + -14n = -7 + 0 19 + -14n = -7 Add '-19' to each side of the equation. 19 + -19 + -14n = -7 + -19 Combine like terms: 19 + -19 = 0 0 + -14n = -7 + -19 -14n = -7 + -19 Combine like terms: -7 + -19 = -26 -14n = -26 Divide each side by '-14'. n = 1.857142857 Simplifying n = 1.857142857
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