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Simplifying 32 + 8n = -4(n + -5) Reorder the terms: 32 + 8n = -4(-5 + n) 32 + 8n = (-5 * -4 + n * -4) 32 + 8n = (20 + -4n) Solving 32 + 8n = 20 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 32 + 8n + 4n = 20 + -4n + 4n Combine like terms: 8n + 4n = 12n 32 + 12n = 20 + -4n + 4n Combine like terms: -4n + 4n = 0 32 + 12n = 20 + 0 32 + 12n = 20 Add '-32' to each side of the equation. 32 + -32 + 12n = 20 + -32 Combine like terms: 32 + -32 = 0 0 + 12n = 20 + -32 12n = 20 + -32 Combine like terms: 20 + -32 = -12 12n = -12 Divide each side by '12'. n = -1 Simplifying n = -1
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