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Simplifying -5(n + -3) + -1(3n + -7) = -3 + (5n + -3) Reorder the terms: -5(-3 + n) + -1(3n + -7) = -3 + (5n + -3) (-3 * -5 + n * -5) + -1(3n + -7) = -3 + (5n + -3) (15 + -5n) + -1(3n + -7) = -3 + (5n + -3) Reorder the terms: 15 + -5n + -1(-7 + 3n) = -3 + (5n + -3) 15 + -5n + (-7 * -1 + 3n * -1) = -3 + (5n + -3) 15 + -5n + (7 + -3n) = -3 + (5n + -3) Reorder the terms: 15 + 7 + -5n + -3n = -3 + (5n + -3) Combine like terms: 15 + 7 = 22 22 + -5n + -3n = -3 + (5n + -3) Combine like terms: -5n + -3n = -8n 22 + -8n = -3 + (5n + -3) Reorder the terms: 22 + -8n = -3 + (-3 + 5n) Remove parenthesis around (-3 + 5n) 22 + -8n = -3 + -3 + 5n Combine like terms: -3 + -3 = -6 22 + -8n = -6 + 5n Solving 22 + -8n = -6 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 22 + -8n + -5n = -6 + 5n + -5n Combine like terms: -8n + -5n = -13n 22 + -13n = -6 + 5n + -5n Combine like terms: 5n + -5n = 0 22 + -13n = -6 + 0 22 + -13n = -6 Add '-22' to each side of the equation. 22 + -22 + -13n = -6 + -22 Combine like terms: 22 + -22 = 0 0 + -13n = -6 + -22 -13n = -6 + -22 Combine like terms: -6 + -22 = -28 -13n = -28 Divide each side by '-13'. n = 2.153846154 Simplifying n = 2.153846154
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