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Simplifying -3n + 17 = 5(8 + 4n) Reorder the terms: 17 + -3n = 5(8 + 4n) 17 + -3n = (8 * 5 + 4n * 5) 17 + -3n = (40 + 20n) Solving 17 + -3n = 40 + 20n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20n' to each side of the equation. 17 + -3n + -20n = 40 + 20n + -20n Combine like terms: -3n + -20n = -23n 17 + -23n = 40 + 20n + -20n Combine like terms: 20n + -20n = 0 17 + -23n = 40 + 0 17 + -23n = 40 Add '-17' to each side of the equation. 17 + -17 + -23n = 40 + -17 Combine like terms: 17 + -17 = 0 0 + -23n = 40 + -17 -23n = 40 + -17 Combine like terms: 40 + -17 = 23 -23n = 23 Divide each side by '-23'. n = -1 Simplifying n = -1
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