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Simplifying 17 + n = 3(2(7 + -4n) + 5n) 17 + n = 3((7 * 2 + -4n * 2) + 5n) 17 + n = 3((14 + -8n) + 5n) Combine like terms: -8n + 5n = -3n 17 + n = 3(14 + -3n) 17 + n = (14 * 3 + -3n * 3) 17 + n = (42 + -9n) Solving 17 + n = 42 + -9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '9n' to each side of the equation. 17 + n + 9n = 42 + -9n + 9n Combine like terms: n + 9n = 10n 17 + 10n = 42 + -9n + 9n Combine like terms: -9n + 9n = 0 17 + 10n = 42 + 0 17 + 10n = 42 Add '-17' to each side of the equation. 17 + -17 + 10n = 42 + -17 Combine like terms: 17 + -17 = 0 0 + 10n = 42 + -17 10n = 42 + -17 Combine like terms: 42 + -17 = 25 10n = 25 Divide each side by '10'. n = 2.5 Simplifying n = 2.5
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