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