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Simplifying 4 + 8n = -4(n + 8) Reorder the terms: 4 + 8n = -4(8 + n) 4 + 8n = (8 * -4 + n * -4) 4 + 8n = (-32 + -4n) Solving 4 + 8n = -32 + -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. 4 + 8n + 4n = -32 + -4n + 4n Combine like terms: 8n + 4n = 12n 4 + 12n = -32 + -4n + 4n Combine like terms: -4n + 4n = 0 4 + 12n = -32 + 0 4 + 12n = -32 Add '-4' to each side of the equation. 4 + -4 + 12n = -32 + -4 Combine like terms: 4 + -4 = 0 0 + 12n = -32 + -4 12n = -32 + -4 Combine like terms: -32 + -4 = -36 12n = -36 Divide each side by '12'. n = -3 Simplifying n = -3
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