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Simplifying 7(-6n + 12) = -12(3 + 4n) Reorder the terms: 7(12 + -6n) = -12(3 + 4n) (12 * 7 + -6n * 7) = -12(3 + 4n) (84 + -42n) = -12(3 + 4n) 84 + -42n = (3 * -12 + 4n * -12) 84 + -42n = (-36 + -48n) Solving 84 + -42n = -36 + -48n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '48n' to each side of the equation. 84 + -42n + 48n = -36 + -48n + 48n Combine like terms: -42n + 48n = 6n 84 + 6n = -36 + -48n + 48n Combine like terms: -48n + 48n = 0 84 + 6n = -36 + 0 84 + 6n = -36 Add '-84' to each side of the equation. 84 + -84 + 6n = -36 + -84 Combine like terms: 84 + -84 = 0 0 + 6n = -36 + -84 6n = -36 + -84 Combine like terms: -36 + -84 = -120 6n = -120 Divide each side by '6'. n = -20 Simplifying n = -20
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