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Simplifying 4(8n + -6) + 3n = 0 Reorder the terms: 4(-6 + 8n) + 3n = 0 (-6 * 4 + 8n * 4) + 3n = 0 (-24 + 32n) + 3n = 0 Combine like terms: 32n + 3n = 35n -24 + 35n = 0 Solving -24 + 35n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 35n = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 35n = 0 + 24 35n = 0 + 24 Combine like terms: 0 + 24 = 24 35n = 24 Divide each side by '35'. n = 0.6857142857 Simplifying n = 0.6857142857
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