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Simplifying 3(6 + 2n) = 5(n + 7) (6 * 3 + 2n * 3) = 5(n + 7) (18 + 6n) = 5(n + 7) Reorder the terms: 18 + 6n = 5(7 + n) 18 + 6n = (7 * 5 + n * 5) 18 + 6n = (35 + 5n) Solving 18 + 6n = 35 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 18 + 6n + -5n = 35 + 5n + -5n Combine like terms: 6n + -5n = 1n 18 + 1n = 35 + 5n + -5n Combine like terms: 5n + -5n = 0 18 + 1n = 35 + 0 18 + 1n = 35 Add '-18' to each side of the equation. 18 + -18 + 1n = 35 + -18 Combine like terms: 18 + -18 = 0 0 + 1n = 35 + -18 1n = 35 + -18 Combine like terms: 35 + -18 = 17 1n = 17 Divide each side by '1'. n = 17 Simplifying n = 17
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