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Simplifying 0.5(-1p + 27) + 0.75p = 17.25 Reorder the terms: 0.5(27 + -1p) + 0.75p = 17.25 (27 * 0.5 + -1p * 0.5) + 0.75p = 17.25 (13.5 + -0.5p) + 0.75p = 17.25 Combine like terms: -0.5p + 0.75p = 0.25p 13.5 + 0.25p = 17.25 Solving 13.5 + 0.25p = 17.25 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-13.5' to each side of the equation. 13.5 + -13.5 + 0.25p = 17.25 + -13.5 Combine like terms: 13.5 + -13.5 = 0.0 0.0 + 0.25p = 17.25 + -13.5 0.25p = 17.25 + -13.5 Combine like terms: 17.25 + -13.5 = 3.75 0.25p = 3.75 Divide each side by '0.25'. p = 15 Simplifying p = 15
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