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Simplifying -8 + -4(3 + 3n) = -32 + -8n -8 + (3 * -4 + 3n * -4) = -32 + -8n -8 + (-12 + -12n) = -32 + -8n Combine like terms: -8 + -12 = -20 -20 + -12n = -32 + -8n Solving -20 + -12n = -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. -20 + -12n + 8n = -32 + -8n + 8n Combine like terms: -12n + 8n = -4n -20 + -4n = -32 + -8n + 8n Combine like terms: -8n + 8n = 0 -20 + -4n = -32 + 0 -20 + -4n = -32 Add '20' to each side of the equation. -20 + 20 + -4n = -32 + 20 Combine like terms: -20 + 20 = 0 0 + -4n = -32 + 20 -4n = -32 + 20 Combine like terms: -32 + 20 = -12 -4n = -12 Divide each side by '-4'. n = 3 Simplifying n = 3
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