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Simplifying -4(3n + 2) = 32 + -8n Reorder the terms: -4(2 + 3n) = 32 + -8n (2 * -4 + 3n * -4) = 32 + -8n (-8 + -12n) = 32 + -8n Solving -8 + -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. -8 + -12n + 8n = 32 + -8n + 8n Combine like terms: -12n + 8n = -4n -8 + -4n = 32 + -8n + 8n Combine like terms: -8n + 8n = 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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