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Simplifying 1(2.5) + 3(5) + n(0.25) = 18.5 Multiply 1 * 2.5 2.5 + 3(5) + n(0.25) = 18.5 Multiply 3 * 5 2.5 + 15 + n(0.25) = 18.5 Reorder the terms for easier multiplication: 2.5 + 15 + 0.25n = 18.5 Combine like terms: 2.5 + 15 = 17.5 17.5 + 0.25n = 18.5 Solving 17.5 + 0.25n = 18.5 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-17.5' to each side of the equation. 17.5 + -17.5 + 0.25n = 18.5 + -17.5 Combine like terms: 17.5 + -17.5 = 0.0 0.0 + 0.25n = 18.5 + -17.5 0.25n = 18.5 + -17.5 Combine like terms: 18.5 + -17.5 = 1 0.25n = 1 Divide each side by '0.25'. n = 4 Simplifying n = 4
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