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Simplifying 4n + 17 = 7n + 2 Reorder the terms: 17 + 4n = 7n + 2 Reorder the terms: 17 + 4n = 2 + 7n Solving 17 + 4n = 2 + 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 = 2 + 7n + -7n Combine like terms: 4n + -7n = -3n 17 + -3n = 2 + 7n + -7n Combine like terms: 7n + -7n = 0 17 + -3n = 2 + 0 17 + -3n = 2 Add '-17' to each side of the equation. 17 + -17 + -3n = 2 + -17 Combine like terms: 17 + -17 = 0 0 + -3n = 2 + -17 -3n = 2 + -17 Combine like terms: 2 + -17 = -15 -3n = -15 Divide each side by '-3'. n = 5 Simplifying n = 5
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