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Simplifying -8(n + -5) + 3(n + 1) = 0 Reorder the terms: -8(-5 + n) + 3(n + 1) = 0 (-5 * -8 + n * -8) + 3(n + 1) = 0 (40 + -8n) + 3(n + 1) = 0 Reorder the terms: 40 + -8n + 3(1 + n) = 0 40 + -8n + (1 * 3 + n * 3) = 0 40 + -8n + (3 + 3n) = 0 Reorder the terms: 40 + 3 + -8n + 3n = 0 Combine like terms: 40 + 3 = 43 43 + -8n + 3n = 0 Combine like terms: -8n + 3n = -5n 43 + -5n = 0 Solving 43 + -5n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + -5n = 0 + -43 Combine like terms: 43 + -43 = 0 0 + -5n = 0 + -43 -5n = 0 + -43 Combine like terms: 0 + -43 = -43 -5n = -43 Divide each side by '-5'. n = 8.6 Simplifying n = 8.6
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