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Simplifying 4(n + 5) = 16 + -8(n + -8) Reorder the terms: 4(5 + n) = 16 + -8(n + -8) (5 * 4 + n * 4) = 16 + -8(n + -8) (20 + 4n) = 16 + -8(n + -8) Reorder the terms: 20 + 4n = 16 + -8(-8 + n) 20 + 4n = 16 + (-8 * -8 + n * -8) 20 + 4n = 16 + (64 + -8n) Combine like terms: 16 + 64 = 80 20 + 4n = 80 + -8n Solving 20 + 4n = 80 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. 20 + 4n + 8n = 80 + -8n + 8n Combine like terms: 4n + 8n = 12n 20 + 12n = 80 + -8n + 8n Combine like terms: -8n + 8n = 0 20 + 12n = 80 + 0 20 + 12n = 80 Add '-20' to each side of the equation. 20 + -20 + 12n = 80 + -20 Combine like terms: 20 + -20 = 0 0 + 12n = 80 + -20 12n = 80 + -20 Combine like terms: 80 + -20 = 60 12n = 60 Divide each side by '12'. n = 5 Simplifying n = 5
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