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Simplifying -3(-2n + -6) = 8n + 24 Reorder the terms: -3(-6 + -2n) = 8n + 24 (-6 * -3 + -2n * -3) = 8n + 24 (18 + 6n) = 8n + 24 Reorder the terms: 18 + 6n = 24 + 8n Solving 18 + 6n = 24 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 18 + 6n + -8n = 24 + 8n + -8n Combine like terms: 6n + -8n = -2n 18 + -2n = 24 + 8n + -8n Combine like terms: 8n + -8n = 0 18 + -2n = 24 + 0 18 + -2n = 24 Add '-18' to each side of the equation. 18 + -18 + -2n = 24 + -18 Combine like terms: 18 + -18 = 0 0 + -2n = 24 + -18 -2n = 24 + -18 Combine like terms: 24 + -18 = 6 -2n = 6 Divide each side by '-2'. n = -3 Simplifying n = -3
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