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Simplifying 6(5.6n + 19.51) + 8.27 = 18.5n Reorder the terms: 6(19.51 + 5.6n) + 8.27 = 18.5n (19.51 * 6 + 5.6n * 6) + 8.27 = 18.5n (117.06 + 33.6n) + 8.27 = 18.5n Reorder the terms: 117.06 + 8.27 + 33.6n = 18.5n Combine like terms: 117.06 + 8.27 = 125.33 125.33 + 33.6n = 18.5n Solving 125.33 + 33.6n = 18.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-18.5n' to each side of the equation. 125.33 + 33.6n + -18.5n = 18.5n + -18.5n Combine like terms: 33.6n + -18.5n = 15.1n 125.33 + 15.1n = 18.5n + -18.5n Combine like terms: 18.5n + -18.5n = 0.0 125.33 + 15.1n = 0.0 Add '-125.33' to each side of the equation. 125.33 + -125.33 + 15.1n = 0.0 + -125.33 Combine like terms: 125.33 + -125.33 = 0.00 0.00 + 15.1n = 0.0 + -125.33 15.1n = 0.0 + -125.33 Combine like terms: 0.0 + -125.33 = -125.33 15.1n = -125.33 Divide each side by '15.1'. n = -8.3 Simplifying n = -8.3
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