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Simplifying -12(3 + -24n) = 20(3n + -36) (3 * -12 + -24n * -12) = 20(3n + -36) (-36 + 288n) = 20(3n + -36) Reorder the terms: -36 + 288n = 20(-36 + 3n) -36 + 288n = (-36 * 20 + 3n * 20) -36 + 288n = (-720 + 60n) Solving -36 + 288n = -720 + 60n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-60n' to each side of the equation. -36 + 288n + -60n = -720 + 60n + -60n Combine like terms: 288n + -60n = 228n -36 + 228n = -720 + 60n + -60n Combine like terms: 60n + -60n = 0 -36 + 228n = -720 + 0 -36 + 228n = -720 Add '36' to each side of the equation. -36 + 36 + 228n = -720 + 36 Combine like terms: -36 + 36 = 0 0 + 228n = -720 + 36 228n = -720 + 36 Combine like terms: -720 + 36 = -684 228n = -684 Divide each side by '228'. n = -3 Simplifying n = -3
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