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Simplifying 12(2n + -3) = 6n Reorder the terms: 12(-3 + 2n) = 6n (-3 * 12 + 2n * 12) = 6n (-36 + 24n) = 6n Solving -36 + 24n = 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -36 + 24n + -6n = 6n + -6n Combine like terms: 24n + -6n = 18n -36 + 18n = 6n + -6n Combine like terms: 6n + -6n = 0 -36 + 18n = 0 Add '36' to each side of the equation. -36 + 36 + 18n = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 18n = 0 + 36 18n = 0 + 36 Combine like terms: 0 + 36 = 36 18n = 36 Divide each side by '18'. n = 2 Simplifying n = 2
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