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Simplifying -8n + 4(2 + -1n) = -8n + -24 -8n + (2 * 4 + -1n * 4) = -8n + -24 -8n + (8 + -4n) = -8n + -24 Reorder the terms: 8 + -8n + -4n = -8n + -24 Combine like terms: -8n + -4n = -12n 8 + -12n = -8n + -24 Reorder the terms: 8 + -12n = -24 + -8n Solving 8 + -12n = -24 + -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. 8 + -12n + 8n = -24 + -8n + 8n Combine like terms: -12n + 8n = -4n 8 + -4n = -24 + -8n + 8n Combine like terms: -8n + 8n = 0 8 + -4n = -24 + 0 8 + -4n = -24 Add '-8' to each side of the equation. 8 + -8 + -4n = -24 + -8 Combine like terms: 8 + -8 = 0 0 + -4n = -24 + -8 -4n = -24 + -8 Combine like terms: -24 + -8 = -32 -4n = -32 Divide each side by '-4'. n = 8 Simplifying n = 8
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