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Simplifying 1.15(2p + 1.5) = 11.5 Reorder the terms: 1.15(1.5 + 2p) = 11.5 (1.5 * 1.15 + 2p * 1.15) = 11.5 (1.725 + 2.3p) = 11.5 Solving 1.725 + 2.3p = 11.5 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1.725' to each side of the equation. 1.725 + -1.725 + 2.3p = 11.5 + -1.725 Combine like terms: 1.725 + -1.725 = 0.000 0.000 + 2.3p = 11.5 + -1.725 2.3p = 11.5 + -1.725 Combine like terms: 11.5 + -1.725 = 9.775 2.3p = 9.775 Divide each side by '2.3'. p = 4.25 Simplifying p = 4.25
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