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Simplifying 6(n + 3) + 12 = 12n Reorder the terms: 6(3 + n) + 12 = 12n (3 * 6 + n * 6) + 12 = 12n (18 + 6n) + 12 = 12n Reorder the terms: 18 + 12 + 6n = 12n Combine like terms: 18 + 12 = 30 30 + 6n = 12n Solving 30 + 6n = 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. 30 + 6n + -12n = 12n + -12n Combine like terms: 6n + -12n = -6n 30 + -6n = 12n + -12n Combine like terms: 12n + -12n = 0 30 + -6n = 0 Add '-30' to each side of the equation. 30 + -30 + -6n = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -6n = 0 + -30 -6n = 0 + -30 Combine like terms: 0 + -30 = -30 -6n = -30 Divide each side by '-6'. n = 5 Simplifying n = 5
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