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Simplifying 4n + 17 = 7(n + 2) Reorder the terms: 17 + 4n = 7(n + 2) Reorder the terms: 17 + 4n = 7(2 + n) 17 + 4n = (2 * 7 + n * 7) 17 + 4n = (14 + 7n) Solving 17 + 4n = 14 + 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 + 4n + -7n = 14 + 7n + -7n Combine like terms: 4n + -7n = -3n 17 + -3n = 14 + 7n + -7n Combine like terms: 7n + -7n = 0 17 + -3n = 14 + 0 17 + -3n = 14 Add '-17' to each side of the equation. 17 + -17 + -3n = 14 + -17 Combine like terms: 17 + -17 = 0 0 + -3n = 14 + -17 -3n = 14 + -17 Combine like terms: 14 + -17 = -3 -3n = -3 Divide each side by '-3'. n = 1 Simplifying n = 1
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