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Simplifying 12[n + 2] = 13[2n + 4] Reorder the terms: 12[2 + n] = 13[2n + 4] [2 * 12 + n * 12] = 13[2n + 4] [24 + 12n] = 13[2n + 4] Reorder the terms: 24 + 12n = 13[4 + 2n] 24 + 12n = [4 * 13 + 2n * 13] 24 + 12n = [52 + 26n] Solving 24 + 12n = 52 + 26n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-26n' to each side of the equation. 24 + 12n + -26n = 52 + 26n + -26n Combine like terms: 12n + -26n = -14n 24 + -14n = 52 + 26n + -26n Combine like terms: 26n + -26n = 0 24 + -14n = 52 + 0 24 + -14n = 52 Add '-24' to each side of the equation. 24 + -24 + -14n = 52 + -24 Combine like terms: 24 + -24 = 0 0 + -14n = 52 + -24 -14n = 52 + -24 Combine like terms: 52 + -24 = 28 -14n = 28 Divide each side by '-14'. n = -2 Simplifying n = -2
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