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Simplifying 4(2n + -8) + 3n = 0 Reorder the terms: 4(-8 + 2n) + 3n = 0 (-8 * 4 + 2n * 4) + 3n = 0 (-32 + 8n) + 3n = 0 Combine like terms: 8n + 3n = 11n -32 + 11n = 0 Solving -32 + 11n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 11n = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 11n = 0 + 32 11n = 0 + 32 Combine like terms: 0 + 32 = 32 11n = 32 Divide each side by '11'. n = 2.909090909 Simplifying n = 2.909090909
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