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Simplifying 6(2n + 2) = 6(6n + 3) + 2n Reorder the terms: 6(2 + 2n) = 6(6n + 3) + 2n (2 * 6 + 2n * 6) = 6(6n + 3) + 2n (12 + 12n) = 6(6n + 3) + 2n Reorder the terms: 12 + 12n = 6(3 + 6n) + 2n 12 + 12n = (3 * 6 + 6n * 6) + 2n 12 + 12n = (18 + 36n) + 2n Combine like terms: 36n + 2n = 38n 12 + 12n = 18 + 38n Solving 12 + 12n = 18 + 38n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-38n' to each side of the equation. 12 + 12n + -38n = 18 + 38n + -38n Combine like terms: 12n + -38n = -26n 12 + -26n = 18 + 38n + -38n Combine like terms: 38n + -38n = 0 12 + -26n = 18 + 0 12 + -26n = 18 Add '-12' to each side of the equation. 12 + -12 + -26n = 18 + -12 Combine like terms: 12 + -12 = 0 0 + -26n = 18 + -12 -26n = 18 + -12 Combine like terms: 18 + -12 = 6 -26n = 6 Divide each side by '-26'. n = -0.2307692308 Simplifying n = -0.2307692308
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