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Simplifying -6(4n + 9) = 14n Reorder the terms: -6(9 + 4n) = 14n (9 * -6 + 4n * -6) = 14n (-54 + -24n) = 14n Solving -54 + -24n = 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. -54 + -24n + -14n = 14n + -14n Combine like terms: -24n + -14n = -38n -54 + -38n = 14n + -14n Combine like terms: 14n + -14n = 0 -54 + -38n = 0 Add '54' to each side of the equation. -54 + 54 + -38n = 0 + 54 Combine like terms: -54 + 54 = 0 0 + -38n = 0 + 54 -38n = 0 + 54 Combine like terms: 0 + 54 = 54 -38n = 54 Divide each side by '-38'. n = -1.421052632 Simplifying n = -1.421052632
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