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Simplifying 150 + 30(f + 2.5) = 500 Reorder the terms: 150 + 30(2.5 + f) = 500 150 + (2.5 * 30 + f * 30) = 500 150 + (75 + 30f) = 500 Combine like terms: 150 + 75 = 225 225 + 30f = 500 Solving 225 + 30f = 500 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-225' to each side of the equation. 225 + -225 + 30f = 500 + -225 Combine like terms: 225 + -225 = 0 0 + 30f = 500 + -225 30f = 500 + -225 Combine like terms: 500 + -225 = 275 30f = 275 Divide each side by '30'. f = 9.166666667 Simplifying f = 9.166666667
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