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Simplifying 3(n + 6) = 2(n + 9) Reorder the terms: 3(6 + n) = 2(n + 9) (6 * 3 + n * 3) = 2(n + 9) (18 + 3n) = 2(n + 9) Reorder the terms: 18 + 3n = 2(9 + n) 18 + 3n = (9 * 2 + n * 2) 18 + 3n = (18 + 2n) Add '-18' to each side of the equation. 18 + -18 + 3n = 18 + -18 + 2n Combine like terms: 18 + -18 = 0 0 + 3n = 18 + -18 + 2n 3n = 18 + -18 + 2n Combine like terms: 18 + -18 = 0 3n = 0 + 2n 3n = 2n Solving 3n = 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 3n + -2n = 2n + -2n Combine like terms: 3n + -2n = 1n 1n = 2n + -2n Combine like terms: 2n + -2n = 0 1n = 0 Divide each side by '1'. n = 0 Simplifying n = 0
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