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Simplifying -8(n + -5) + 5(n + 1) = 0 Reorder the terms: -8(-5 + n) + 5(n + 1) = 0 (-5 * -8 + n * -8) + 5(n + 1) = 0 (40 + -8n) + 5(n + 1) = 0 Reorder the terms: 40 + -8n + 5(1 + n) = 0 40 + -8n + (1 * 5 + n * 5) = 0 40 + -8n + (5 + 5n) = 0 Reorder the terms: 40 + 5 + -8n + 5n = 0 Combine like terms: 40 + 5 = 45 45 + -8n + 5n = 0 Combine like terms: -8n + 5n = -3n 45 + -3n = 0 Solving 45 + -3n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -3n = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -3n = 0 + -45 -3n = 0 + -45 Combine like terms: 0 + -45 = -45 -3n = -45 Divide each side by '-3'. n = 15 Simplifying n = 15
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