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Simplifying -5(n + -5) + -1(3n + -1) = -3 + (6n + -6) Reorder the terms: -5(-5 + n) + -1(3n + -1) = -3 + (6n + -6) (-5 * -5 + n * -5) + -1(3n + -1) = -3 + (6n + -6) (25 + -5n) + -1(3n + -1) = -3 + (6n + -6) Reorder the terms: 25 + -5n + -1(-1 + 3n) = -3 + (6n + -6) 25 + -5n + (-1 * -1 + 3n * -1) = -3 + (6n + -6) 25 + -5n + (1 + -3n) = -3 + (6n + -6) Reorder the terms: 25 + 1 + -5n + -3n = -3 + (6n + -6) Combine like terms: 25 + 1 = 26 26 + -5n + -3n = -3 + (6n + -6) Combine like terms: -5n + -3n = -8n 26 + -8n = -3 + (6n + -6) Reorder the terms: 26 + -8n = -3 + (-6 + 6n) Remove parenthesis around (-6 + 6n) 26 + -8n = -3 + -6 + 6n Combine like terms: -3 + -6 = -9 26 + -8n = -9 + 6n Solving 26 + -8n = -9 + 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 = -9 + 6n + -6n Combine like terms: -8n + -6n = -14n 26 + -14n = -9 + 6n + -6n Combine like terms: 6n + -6n = 0 26 + -14n = -9 + 0 26 + -14n = -9 Add '-26' to each side of the equation. 26 + -26 + -14n = -9 + -26 Combine like terms: 26 + -26 = 0 0 + -14n = -9 + -26 -14n = -9 + -26 Combine like terms: -9 + -26 = -35 -14n = -35 Divide each side by '-14'. n = 2.5 Simplifying n = 2.5
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