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Simplifying -3(3n + 6) + -6 = 6n + -24 Reorder the terms: -3(6 + 3n) + -6 = 6n + -24 (6 * -3 + 3n * -3) + -6 = 6n + -24 (-18 + -9n) + -6 = 6n + -24 Reorder the terms: -18 + -6 + -9n = 6n + -24 Combine like terms: -18 + -6 = -24 -24 + -9n = 6n + -24 Reorder the terms: -24 + -9n = -24 + 6n Add '24' to each side of the equation. -24 + 24 + -9n = -24 + 24 + 6n Combine like terms: -24 + 24 = 0 0 + -9n = -24 + 24 + 6n -9n = -24 + 24 + 6n Combine like terms: -24 + 24 = 0 -9n = 0 + 6n -9n = 6n Solving -9n = 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. -9n + -6n = 6n + -6n Combine like terms: -9n + -6n = -15n -15n = 6n + -6n Combine like terms: 6n + -6n = 0 -15n = 0 Divide each side by '-15'. n = 0 Simplifying n = 0
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