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Simplifying 28.5 = 3.5(6n + -5) Reorder the terms: 28.5 = 3.5(-5 + 6n) 28.5 = (-5 * 3.5 + 6n * 3.5) 28.5 = (-17.5 + 21n) Solving 28.5 = -17.5 + 21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21n' to each side of the equation. 28.5 + -21n = -17.5 + 21n + -21n Combine like terms: 21n + -21n = 0 28.5 + -21n = -17.5 + 0 28.5 + -21n = -17.5 Add '-28.5' to each side of the equation. 28.5 + -28.5 + -21n = -17.5 + -28.5 Combine like terms: 28.5 + -28.5 = 0.0 0.0 + -21n = -17.5 + -28.5 -21n = -17.5 + -28.5 Combine like terms: -17.5 + -28.5 = -46 -21n = -46 Divide each side by '-21'. n = 2.19047619 Simplifying n = 2.19047619
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