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Simplifying 4(n + 8) + 4(n + -2) = 0 Reorder the terms: 4(8 + n) + 4(n + -2) = 0 (8 * 4 + n * 4) + 4(n + -2) = 0 (32 + 4n) + 4(n + -2) = 0 Reorder the terms: 32 + 4n + 4(-2 + n) = 0 32 + 4n + (-2 * 4 + n * 4) = 0 32 + 4n + (-8 + 4n) = 0 Reorder the terms: 32 + -8 + 4n + 4n = 0 Combine like terms: 32 + -8 = 24 24 + 4n + 4n = 0 Combine like terms: 4n + 4n = 8n 24 + 8n = 0 Solving 24 + 8n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 8n = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 8n = 0 + -24 8n = 0 + -24 Combine like terms: 0 + -24 = -24 8n = -24 Divide each side by '8'. n = -3 Simplifying n = -3
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