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Simplifying -8(n + -3) + 5(n + 1) = 0 Reorder the terms: -8(-3 + n) + 5(n + 1) = 0 (-3 * -8 + n * -8) + 5(n + 1) = 0 (24 + -8n) + 5(n + 1) = 0 Reorder the terms: 24 + -8n + 5(1 + n) = 0 24 + -8n + (1 * 5 + n * 5) = 0 24 + -8n + (5 + 5n) = 0 Reorder the terms: 24 + 5 + -8n + 5n = 0 Combine like terms: 24 + 5 = 29 29 + -8n + 5n = 0 Combine like terms: -8n + 5n = -3n 29 + -3n = 0 Solving 29 + -3n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -3n = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -3n = 0 + -29 -3n = 0 + -29 Combine like terms: 0 + -29 = -29 -3n = -29 Divide each side by '-3'. n = 9.666666667 Simplifying n = 9.666666667
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