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Simplifying 5n + 7 = 3n + 17 Reorder the terms: 7 + 5n = 3n + 17 Reorder the terms: 7 + 5n = 17 + 3n Solving 7 + 5n = 17 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 7 + 5n + -3n = 17 + 3n + -3n Combine like terms: 5n + -3n = 2n 7 + 2n = 17 + 3n + -3n Combine like terms: 3n + -3n = 0 7 + 2n = 17 + 0 7 + 2n = 17 Add '-7' to each side of the equation. 7 + -7 + 2n = 17 + -7 Combine like terms: 7 + -7 = 0 0 + 2n = 17 + -7 2n = 17 + -7 Combine like terms: 17 + -7 = 10 2n = 10 Divide each side by '2'. n = 5 Simplifying n = 5
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