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Simplifying -4(-5n + -8) = 8(n + 10) Reorder the terms: -4(-8 + -5n) = 8(n + 10) (-8 * -4 + -5n * -4) = 8(n + 10) (32 + 20n) = 8(n + 10) Reorder the terms: 32 + 20n = 8(10 + n) 32 + 20n = (10 * 8 + n * 8) 32 + 20n = (80 + 8n) Solving 32 + 20n = 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. 32 + 20n + -8n = 80 + 8n + -8n Combine like terms: 20n + -8n = 12n 32 + 12n = 80 + 8n + -8n Combine like terms: 8n + -8n = 0 32 + 12n = 80 + 0 32 + 12n = 80 Add '-32' to each side of the equation. 32 + -32 + 12n = 80 + -32 Combine like terms: 32 + -32 = 0 0 + 12n = 80 + -32 12n = 80 + -32 Combine like terms: 80 + -32 = 48 12n = 48 Divide each side by '12'. n = 4 Simplifying n = 4
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