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Simplifying 113.5 = 7.75n + 4.5(18 + -1n) 113.5 = 7.75n + (18 * 4.5 + -1n * 4.5) 113.5 = 7.75n + (81 + -4.5n) Reorder the terms: 113.5 = 81 + 7.75n + -4.5n Combine like terms: 7.75n + -4.5n = 3.25n 113.5 = 81 + 3.25n Solving 113.5 = 81 + 3.25n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3.25n' to each side of the equation. 113.5 + -3.25n = 81 + 3.25n + -3.25n Combine like terms: 3.25n + -3.25n = 0.00 113.5 + -3.25n = 81 + 0.00 113.5 + -3.25n = 81 Add '-113.5' to each side of the equation. 113.5 + -113.5 + -3.25n = 81 + -113.5 Combine like terms: 113.5 + -113.5 = 0.0 0.0 + -3.25n = 81 + -113.5 -3.25n = 81 + -113.5 Combine like terms: 81 + -113.5 = -32.5 -3.25n = -32.5 Divide each side by '-3.25'. n = 10 Simplifying n = 10
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