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Simplifying -4(8 + -4n) = 16 + 8n (8 * -4 + -4n * -4) = 16 + 8n (-32 + 16n) = 16 + 8n Solving -32 + 16n = 16 + 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 + 16n + -8n = 16 + 8n + -8n Combine like terms: 16n + -8n = 8n -32 + 8n = 16 + 8n + -8n Combine like terms: 8n + -8n = 0 -32 + 8n = 16 + 0 -32 + 8n = 16 Add '32' to each side of the equation. -32 + 32 + 8n = 16 + 32 Combine like terms: -32 + 32 = 0 0 + 8n = 16 + 32 8n = 16 + 32 Combine like terms: 16 + 32 = 48 8n = 48 Divide each side by '8'. n = 6 Simplifying n = 6
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