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Simplifying (5n + -3) + -1(6 + -8n) = 5(3 + -1n) Reorder the terms: (-3 + 5n) + -1(6 + -8n) = 5(3 + -1n) Remove parenthesis around (-3 + 5n) -3 + 5n + -1(6 + -8n) = 5(3 + -1n) -3 + 5n + (6 * -1 + -8n * -1) = 5(3 + -1n) -3 + 5n + (-6 + 8n) = 5(3 + -1n) Reorder the terms: -3 + -6 + 5n + 8n = 5(3 + -1n) Combine like terms: -3 + -6 = -9 -9 + 5n + 8n = 5(3 + -1n) Combine like terms: 5n + 8n = 13n -9 + 13n = 5(3 + -1n) -9 + 13n = (3 * 5 + -1n * 5) -9 + 13n = (15 + -5n) Solving -9 + 13n = 15 + -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. -9 + 13n + 5n = 15 + -5n + 5n Combine like terms: 13n + 5n = 18n -9 + 18n = 15 + -5n + 5n Combine like terms: -5n + 5n = 0 -9 + 18n = 15 + 0 -9 + 18n = 15 Add '9' to each side of the equation. -9 + 9 + 18n = 15 + 9 Combine like terms: -9 + 9 = 0 0 + 18n = 15 + 9 18n = 15 + 9 Combine like terms: 15 + 9 = 24 18n = 24 Divide each side by '18'. n = 1.333333333 Simplifying n = 1.333333333
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