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Simplifying -1(6n + -6) + 6(3n + 1) = 12n + -3n Reorder the terms: -1(-6 + 6n) + 6(3n + 1) = 12n + -3n (-6 * -1 + 6n * -1) + 6(3n + 1) = 12n + -3n (6 + -6n) + 6(3n + 1) = 12n + -3n Reorder the terms: 6 + -6n + 6(1 + 3n) = 12n + -3n 6 + -6n + (1 * 6 + 3n * 6) = 12n + -3n 6 + -6n + (6 + 18n) = 12n + -3n Reorder the terms: 6 + 6 + -6n + 18n = 12n + -3n Combine like terms: 6 + 6 = 12 12 + -6n + 18n = 12n + -3n Combine like terms: -6n + 18n = 12n 12 + 12n = 12n + -3n Combine like terms: 12n + -3n = 9n 12 + 12n = 9n Solving 12 + 12n = 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 12 + 12n + -9n = 9n + -9n Combine like terms: 12n + -9n = 3n 12 + 3n = 9n + -9n Combine like terms: 9n + -9n = 0 12 + 3n = 0 Add '-12' to each side of the equation. 12 + -12 + 3n = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 3n = 0 + -12 3n = 0 + -12 Combine like terms: 0 + -12 = -12 3n = -12 Divide each side by '3'. n = -4 Simplifying n = -4
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