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Simplifying -8(6n + 9) = 14n Reorder the terms: -8(9 + 6n) = 14n (9 * -8 + 6n * -8) = 14n (-72 + -48n) = 14n Solving -72 + -48n = 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. -72 + -48n + -14n = 14n + -14n Combine like terms: -48n + -14n = -62n -72 + -62n = 14n + -14n Combine like terms: 14n + -14n = 0 -72 + -62n = 0 Add '72' to each side of the equation. -72 + 72 + -62n = 0 + 72 Combine like terms: -72 + 72 = 0 0 + -62n = 0 + 72 -62n = 0 + 72 Combine like terms: 0 + 72 = 72 -62n = 72 Divide each side by '-62'. n = -1.161290323 Simplifying n = -1.161290323
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