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Simplifying -3(n + 3) = 21 + -8n Reorder the terms: -3(3 + n) = 21 + -8n (3 * -3 + n * -3) = 21 + -8n (-9 + -3n) = 21 + -8n Solving -9 + -3n = 21 + -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. -9 + -3n + 8n = 21 + -8n + 8n Combine like terms: -3n + 8n = 5n -9 + 5n = 21 + -8n + 8n Combine like terms: -8n + 8n = 0 -9 + 5n = 21 + 0 -9 + 5n = 21 Add '9' to each side of the equation. -9 + 9 + 5n = 21 + 9 Combine like terms: -9 + 9 = 0 0 + 5n = 21 + 9 5n = 21 + 9 Combine like terms: 21 + 9 = 30 5n = 30 Divide each side by '5'. n = 6 Simplifying n = 6
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