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Simplifying -8(n + -4) + 5(n + 1) = 0 Reorder the terms: -8(-4 + n) + 5(n + 1) = 0 (-4 * -8 + n * -8) + 5(n + 1) = 0 (32 + -8n) + 5(n + 1) = 0 Reorder the terms: 32 + -8n + 5(1 + n) = 0 32 + -8n + (1 * 5 + n * 5) = 0 32 + -8n + (5 + 5n) = 0 Reorder the terms: 32 + 5 + -8n + 5n = 0 Combine like terms: 32 + 5 = 37 37 + -8n + 5n = 0 Combine like terms: -8n + 5n = -3n 37 + -3n = 0 Solving 37 + -3n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-37' to each side of the equation. 37 + -37 + -3n = 0 + -37 Combine like terms: 37 + -37 = 0 0 + -3n = 0 + -37 -3n = 0 + -37 Combine like terms: 0 + -37 = -37 -3n = -37 Divide each side by '-3'. n = 12.33333333 Simplifying n = 12.33333333
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