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Simplifying 8(3 + n) + -2(6n + 5) = 0 (3 * 8 + n * 8) + -2(6n + 5) = 0 (24 + 8n) + -2(6n + 5) = 0 Reorder the terms: 24 + 8n + -2(5 + 6n) = 0 24 + 8n + (5 * -2 + 6n * -2) = 0 24 + 8n + (-10 + -12n) = 0 Reorder the terms: 24 + -10 + 8n + -12n = 0 Combine like terms: 24 + -10 = 14 14 + 8n + -12n = 0 Combine like terms: 8n + -12n = -4n 14 + -4n = 0 Solving 14 + -4n = 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 + -4n = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -4n = 0 + -14 -4n = 0 + -14 Combine like terms: 0 + -14 = -14 -4n = -14 Divide each side by '-4'. n = 3.5 Simplifying n = 3.5
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