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Simplifying -4(3n + 9) = 14n Reorder the terms: -4(9 + 3n) = 14n (9 * -4 + 3n * -4) = 14n (-36 + -12n) = 14n Solving -36 + -12n = 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. -36 + -12n + -14n = 14n + -14n Combine like terms: -12n + -14n = -26n -36 + -26n = 14n + -14n Combine like terms: 14n + -14n = 0 -36 + -26n = 0 Add '36' to each side of the equation. -36 + 36 + -26n = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -26n = 0 + 36 -26n = 0 + 36 Combine like terms: 0 + 36 = 36 -26n = 36 Divide each side by '-26'. n = -1.384615385 Simplifying n = -1.384615385
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