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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 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 = 18n 18 + 18n = 12 + -12n + 12n Combine like terms: -12n + 12n = 0 18 + 18n = 12 + 0 18 + 18n = 12 Add '-18' to each side of the equation. 18 + -18 + 18n = 12 + -18 Combine like terms: 18 + -18 = 0 0 + 18n = 12 + -18 18n = 12 + -18 Combine like terms: 12 + -18 = -6 18n = -6 Divide each side by '18'. n = -0.3333333333 Simplifying n = -0.3333333333
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