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Simplifying -4(1 + n) = 32 + 8n (1 * -4 + n * -4) = 32 + 8n (-4 + -4n) = 32 + 8n Solving -4 + -4n = 32 + 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. -4 + -4n + -8n = 32 + 8n + -8n Combine like terms: -4n + -8n = -12n -4 + -12n = 32 + 8n + -8n Combine like terms: 8n + -8n = 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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