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Simplifying 4(6 + 5n) + 3(1 + -1n) * 27 = 0 (6 * 4 + 5n * 4) + 3(1 + -1n) * 27 = 0 (24 + 20n) + 3(1 + -1n) * 27 = 0 Reorder the terms for easier multiplication: 24 + 20n + 3 * 27(1 + -1n) = 0 Multiply 3 * 27 24 + 20n + 81(1 + -1n) = 0 24 + 20n + (1 * 81 + -1n * 81) = 0 24 + 20n + (81 + -81n) = 0 Reorder the terms: 24 + 81 + 20n + -81n = 0 Combine like terms: 24 + 81 = 105 105 + 20n + -81n = 0 Combine like terms: 20n + -81n = -61n 105 + -61n = 0 Solving 105 + -61n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-105' to each side of the equation. 105 + -105 + -61n = 0 + -105 Combine like terms: 105 + -105 = 0 0 + -61n = 0 + -105 -61n = 0 + -105 Combine like terms: 0 + -105 = -105 -61n = -105 Divide each side by '-61'. n = 1.721311475 Simplifying n = 1.721311475
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