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Simplifying 7n + 2 = 4n + 17 Reorder the terms: 2 + 7n = 4n + 17 Reorder the terms: 2 + 7n = 17 + 4n Solving 2 + 7n = 17 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. 2 + 7n + -4n = 17 + 4n + -4n Combine like terms: 7n + -4n = 3n 2 + 3n = 17 + 4n + -4n Combine like terms: 4n + -4n = 0 2 + 3n = 17 + 0 2 + 3n = 17 Add '-2' to each side of the equation. 2 + -2 + 3n = 17 + -2 Combine like terms: 2 + -2 = 0 0 + 3n = 17 + -2 3n = 17 + -2 Combine like terms: 17 + -2 = 15 3n = 15 Divide each side by '3'. n = 5 Simplifying n = 5
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