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Simplifying 3(n + 12) = 2(n + 9) + 6 Reorder the terms: 3(12 + n) = 2(n + 9) + 6 (12 * 3 + n * 3) = 2(n + 9) + 6 (36 + 3n) = 2(n + 9) + 6 Reorder the terms: 36 + 3n = 2(9 + n) + 6 36 + 3n = (9 * 2 + n * 2) + 6 36 + 3n = (18 + 2n) + 6 Reorder the terms: 36 + 3n = 18 + 6 + 2n Combine like terms: 18 + 6 = 24 36 + 3n = 24 + 2n Solving 36 + 3n = 24 + 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. 36 + 3n + -2n = 24 + 2n + -2n Combine like terms: 3n + -2n = 1n 36 + 1n = 24 + 2n + -2n Combine like terms: 2n + -2n = 0 36 + 1n = 24 + 0 36 + 1n = 24 Add '-36' to each side of the equation. 36 + -36 + 1n = 24 + -36 Combine like terms: 36 + -36 = 0 0 + 1n = 24 + -36 1n = 24 + -36 Combine like terms: 24 + -36 = -12 1n = -12 Divide each side by '1'. n = -12 Simplifying n = -12
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