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Simplifying -8(n + 4) = 4 + 4n Reorder the terms: -8(4 + n) = 4 + 4n (4 * -8 + n * -8) = 4 + 4n (-32 + -8n) = 4 + 4n Solving -32 + -8n = 4 + 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. -32 + -8n + -4n = 4 + 4n + -4n Combine like terms: -8n + -4n = -12n -32 + -12n = 4 + 4n + -4n Combine like terms: 4n + -4n = 0 -32 + -12n = 4 + 0 -32 + -12n = 4 Add '32' to each side of the equation. -32 + 32 + -12n = 4 + 32 Combine like terms: -32 + 32 = 0 0 + -12n = 4 + 32 -12n = 4 + 32 Combine like terms: 4 + 32 = 36 -12n = 36 Divide each side by '-12'. n = -3 Simplifying n = -3
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