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Simplifying 5n + 17 + n = 3n + -2 + 2(2n + 1) Reorder the terms: 17 + 5n + n = 3n + -2 + 2(2n + 1) Combine like terms: 5n + n = 6n 17 + 6n = 3n + -2 + 2(2n + 1) Reorder the terms: 17 + 6n = 3n + -2 + 2(1 + 2n) 17 + 6n = 3n + -2 + (1 * 2 + 2n * 2) 17 + 6n = 3n + -2 + (2 + 4n) Reorder the terms: 17 + 6n = -2 + 2 + 3n + 4n Combine like terms: -2 + 2 = 0 17 + 6n = 0 + 3n + 4n 17 + 6n = 3n + 4n Combine like terms: 3n + 4n = 7n 17 + 6n = 7n Solving 17 + 6n = 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. 17 + 6n + -7n = 7n + -7n Combine like terms: 6n + -7n = -1n 17 + -1n = 7n + -7n Combine like terms: 7n + -7n = 0 17 + -1n = 0 Add '-17' to each side of the equation. 17 + -17 + -1n = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -1n = 0 + -17 -1n = 0 + -17 Combine like terms: 0 + -17 = -17 -1n = -17 Divide each side by '-1'. n = 17 Simplifying n = 17
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