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Simplifying 5n + 18 = 3n + 82 Reorder the terms: 18 + 5n = 3n + 82 Reorder the terms: 18 + 5n = 82 + 3n Solving 18 + 5n = 82 + 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. 18 + 5n + -3n = 82 + 3n + -3n Combine like terms: 5n + -3n = 2n 18 + 2n = 82 + 3n + -3n Combine like terms: 3n + -3n = 0 18 + 2n = 82 + 0 18 + 2n = 82 Add '-18' to each side of the equation. 18 + -18 + 2n = 82 + -18 Combine like terms: 18 + -18 = 0 0 + 2n = 82 + -18 2n = 82 + -18 Combine like terms: 82 + -18 = 64 2n = 64 Divide each side by '2'. n = 32 Simplifying n = 32
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