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Simplifying 4(-8n + -4) = 32 + -8n Reorder the terms: 4(-4 + -8n) = 32 + -8n (-4 * 4 + -8n * 4) = 32 + -8n (-16 + -32n) = 32 + -8n Solving -16 + -32n = 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. -16 + -32n + 8n = 32 + -8n + 8n Combine like terms: -32n + 8n = -24n -16 + -24n = 32 + -8n + 8n Combine like terms: -8n + 8n = 0 -16 + -24n = 32 + 0 -16 + -24n = 32 Add '16' to each side of the equation. -16 + 16 + -24n = 32 + 16 Combine like terms: -16 + 16 = 0 0 + -24n = 32 + 16 -24n = 32 + 16 Combine like terms: 32 + 16 = 48 -24n = 48 Divide each side by '-24'. n = -2 Simplifying n = -2
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