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Simplifying 2(6n + 6) = 1(18n + -30) Reorder the terms: 2(6 + 6n) = 1(18n + -30) (6 * 2 + 6n * 2) = 1(18n + -30) (12 + 12n) = 1(18n + -30) Reorder the terms: 12 + 12n = 1(-30 + 18n) 12 + 12n = (-30 * 1 + 18n * 1) 12 + 12n = (-30 + 18n) Solving 12 + 12n = -30 + 18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18n' to each side of the equation. 12 + 12n + -18n = -30 + 18n + -18n Combine like terms: 12n + -18n = -6n 12 + -6n = -30 + 18n + -18n Combine like terms: 18n + -18n = 0 12 + -6n = -30 + 0 12 + -6n = -30 Add '-12' to each side of the equation. 12 + -12 + -6n = -30 + -12 Combine like terms: 12 + -12 = 0 0 + -6n = -30 + -12 -6n = -30 + -12 Combine like terms: -30 + -12 = -42 -6n = -42 Divide each side by '-6'. n = 7 Simplifying n = 7
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