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Simplifying 2(n + 12) = (n + 9) + 6 Reorder the terms: 2(12 + n) = (n + 9) + 6 (12 * 2 + n * 2) = (n + 9) + 6 (24 + 2n) = (n + 9) + 6 Reorder the terms: 24 + 2n = (9 + n) + 6 Remove parenthesis around (9 + n) 24 + 2n = 9 + n + 6 Reorder the terms: 24 + 2n = 9 + 6 + n Combine like terms: 9 + 6 = 15 24 + 2n = 15 + n Solving 24 + 2n = 15 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 24 + 2n + -1n = 15 + n + -1n Combine like terms: 2n + -1n = 1n 24 + 1n = 15 + n + -1n Combine like terms: n + -1n = 0 24 + 1n = 15 + 0 24 + 1n = 15 Add '-24' to each side of the equation. 24 + -24 + 1n = 15 + -24 Combine like terms: 24 + -24 = 0 0 + 1n = 15 + -24 1n = 15 + -24 Combine like terms: 15 + -24 = -9 1n = -9 Divide each side by '1'. n = -9 Simplifying n = -9
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