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Simplifying 4(n + -5) + 8(n + 5) = 0 Reorder the terms: 4(-5 + n) + 8(n + 5) = 0 (-5 * 4 + n * 4) + 8(n + 5) = 0 (-20 + 4n) + 8(n + 5) = 0 Reorder the terms: -20 + 4n + 8(5 + n) = 0 -20 + 4n + (5 * 8 + n * 8) = 0 -20 + 4n + (40 + 8n) = 0 Reorder the terms: -20 + 40 + 4n + 8n = 0 Combine like terms: -20 + 40 = 20 20 + 4n + 8n = 0 Combine like terms: 4n + 8n = 12n 20 + 12n = 0 Solving 20 + 12n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 12n = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 12n = 0 + -20 12n = 0 + -20 Combine like terms: 0 + -20 = -20 12n = -20 Divide each side by '12'. n = -1.666666667 Simplifying n = -1.666666667
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