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Simplifying -5(n + -3) + -1(3n + -7) = -3 + (3n + -4) Reorder the terms: -5(-3 + n) + -1(3n + -7) = -3 + (3n + -4) (-3 * -5 + n * -5) + -1(3n + -7) = -3 + (3n + -4) (15 + -5n) + -1(3n + -7) = -3 + (3n + -4) Reorder the terms: 15 + -5n + -1(-7 + 3n) = -3 + (3n + -4) 15 + -5n + (-7 * -1 + 3n * -1) = -3 + (3n + -4) 15 + -5n + (7 + -3n) = -3 + (3n + -4) Reorder the terms: 15 + 7 + -5n + -3n = -3 + (3n + -4) Combine like terms: 15 + 7 = 22 22 + -5n + -3n = -3 + (3n + -4) Combine like terms: -5n + -3n = -8n 22 + -8n = -3 + (3n + -4) Reorder the terms: 22 + -8n = -3 + (-4 + 3n) Remove parenthesis around (-4 + 3n) 22 + -8n = -3 + -4 + 3n Combine like terms: -3 + -4 = -7 22 + -8n = -7 + 3n Solving 22 + -8n = -7 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 22 + -8n + -3n = -7 + 3n + -3n Combine like terms: -8n + -3n = -11n 22 + -11n = -7 + 3n + -3n Combine like terms: 3n + -3n = 0 22 + -11n = -7 + 0 22 + -11n = -7 Add '-22' to each side of the equation. 22 + -22 + -11n = -7 + -22 Combine like terms: 22 + -22 = 0 0 + -11n = -7 + -22 -11n = -7 + -22 Combine like terms: -7 + -22 = -29 -11n = -29 Divide each side by '-11'. n = 2.636363636 Simplifying n = 2.636363636
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