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Simplifying 3(3n + 3) + -1(8n + -5) = 0 Reorder the terms: 3(3 + 3n) + -1(8n + -5) = 0 (3 * 3 + 3n * 3) + -1(8n + -5) = 0 (9 + 9n) + -1(8n + -5) = 0 Reorder the terms: 9 + 9n + -1(-5 + 8n) = 0 9 + 9n + (-5 * -1 + 8n * -1) = 0 9 + 9n + (5 + -8n) = 0 Reorder the terms: 9 + 5 + 9n + -8n = 0 Combine like terms: 9 + 5 = 14 14 + 9n + -8n = 0 Combine like terms: 9n + -8n = 1n 14 + 1n = 0 Solving 14 + 1n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 1n = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 1n = 0 + -14 1n = 0 + -14 Combine like terms: 0 + -14 = -14 1n = -14 Divide each side by '1'. n = -14 Simplifying n = -14
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