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Simplifying 6n(9 + 4) + 5 = 0 Combine like terms: 9 + 4 = 13 6n(13) + 5 = 0 Reorder the terms for easier multiplication: 6 * 13n + 5 = 0 Multiply 6 * 13 78n + 5 = 0 Reorder the terms: 5 + 78n = 0 Solving 5 + 78n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 78n = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 78n = 0 + -5 78n = 0 + -5 Combine like terms: 0 + -5 = -5 78n = -5 Divide each side by '78'. n = -0.0641025641 Simplifying n = -0.0641025641
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