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Simplifying -3(3n + 8) = -6 + -6(3 + 4n) Reorder the terms: -3(8 + 3n) = -6 + -6(3 + 4n) (8 * -3 + 3n * -3) = -6 + -6(3 + 4n) (-24 + -9n) = -6 + -6(3 + 4n) -24 + -9n = -6 + (3 * -6 + 4n * -6) -24 + -9n = -6 + (-18 + -24n) Combine like terms: -6 + -18 = -24 -24 + -9n = -24 + -24n Add '24' to each side of the equation. -24 + 24 + -9n = -24 + 24 + -24n Combine like terms: -24 + 24 = 0 0 + -9n = -24 + 24 + -24n -9n = -24 + 24 + -24n Combine like terms: -24 + 24 = 0 -9n = 0 + -24n -9n = -24n Solving -9n = -24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24n' to each side of the equation. -9n + 24n = -24n + 24n Combine like terms: -9n + 24n = 15n 15n = -24n + 24n Combine like terms: -24n + 24n = 0 15n = 0 Divide each side by '15'. n = 0 Simplifying n = 0
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