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Simplifying 8 = 8n + -4(n + 8) Reorder the terms: 8 = 8n + -4(8 + n) 8 = 8n + (8 * -4 + n * -4) 8 = 8n + (-32 + -4n) Reorder the terms: 8 = -32 + 8n + -4n Combine like terms: 8n + -4n = 4n 8 = -32 + 4n Solving 8 = -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. 8 + -4n = -32 + 4n + -4n Combine like terms: 4n + -4n = 0 8 + -4n = -32 + 0 8 + -4n = -32 Add '-8' to each side of the equation. 8 + -8 + -4n = -32 + -8 Combine like terms: 8 + -8 = 0 0 + -4n = -32 + -8 -4n = -32 + -8 Combine like terms: -32 + -8 = -40 -4n = -40 Divide each side by '-4'. n = 10 Simplifying n = 10
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