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Simplifying -8(n + -3) + 2(n + 1) = 0 Reorder the terms: -8(-3 + n) + 2(n + 1) = 0 (-3 * -8 + n * -8) + 2(n + 1) = 0 (24 + -8n) + 2(n + 1) = 0 Reorder the terms: 24 + -8n + 2(1 + n) = 0 24 + -8n + (1 * 2 + n * 2) = 0 24 + -8n + (2 + 2n) = 0 Reorder the terms: 24 + 2 + -8n + 2n = 0 Combine like terms: 24 + 2 = 26 26 + -8n + 2n = 0 Combine like terms: -8n + 2n = -6n 26 + -6n = 0 Solving 26 + -6n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -6n = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -6n = 0 + -26 -6n = 0 + -26 Combine like terms: 0 + -26 = -26 -6n = -26 Divide each side by '-6'. n = 4.333333333 Simplifying n = 4.333333333
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