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Simplifying 12 + 2(n + 6) = n + 7 + 13 Reorder the terms: 12 + 2(6 + n) = n + 7 + 13 12 + (6 * 2 + n * 2) = n + 7 + 13 12 + (12 + 2n) = n + 7 + 13 Combine like terms: 12 + 12 = 24 24 + 2n = n + 7 + 13 Reorder the terms: 24 + 2n = 7 + 13 + n Combine like terms: 7 + 13 = 20 24 + 2n = 20 + n Solving 24 + 2n = 20 + 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 = 20 + n + -1n Combine like terms: 2n + -1n = 1n 24 + 1n = 20 + n + -1n Combine like terms: n + -1n = 0 24 + 1n = 20 + 0 24 + 1n = 20 Add '-24' to each side of the equation. 24 + -24 + 1n = 20 + -24 Combine like terms: 24 + -24 = 0 0 + 1n = 20 + -24 1n = 20 + -24 Combine like terms: 20 + -24 = -4 1n = -4 Divide each side by '1'. n = -4 Simplifying n = -4
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