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Simplifying 4(3n + -8) + 9n = 0 Reorder the terms: 4(-8 + 3n) + 9n = 0 (-8 * 4 + 3n * 4) + 9n = 0 (-32 + 12n) + 9n = 0 Combine like terms: 12n + 9n = 21n -32 + 21n = 0 Solving -32 + 21n = 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 + 21n = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 21n = 0 + 32 21n = 0 + 32 Combine like terms: 0 + 32 = 32 21n = 32 Divide each side by '21'. n = 1.523809524 Simplifying n = 1.523809524
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