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Simplifying 18n + 12 = 6(2n + 6) Reorder the terms: 12 + 18n = 6(2n + 6) Reorder the terms: 12 + 18n = 6(6 + 2n) 12 + 18n = (6 * 6 + 2n * 6) 12 + 18n = (36 + 12n) Solving 12 + 18n = 36 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. 12 + 18n + -12n = 36 + 12n + -12n Combine like terms: 18n + -12n = 6n 12 + 6n = 36 + 12n + -12n Combine like terms: 12n + -12n = 0 12 + 6n = 36 + 0 12 + 6n = 36 Add '-12' to each side of the equation. 12 + -12 + 6n = 36 + -12 Combine like terms: 12 + -12 = 0 0 + 6n = 36 + -12 6n = 36 + -12 Combine like terms: 36 + -12 = 24 6n = 24 Divide each side by '6'. n = 4 Simplifying n = 4
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