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Simplifying 2p + 1.50 + 0.15(2p + 1.50) = 11.50 Reorder the terms: 2p + 1.50 + 0.15(1.50 + 2p) = 11.50 2p + 1.50 + (1.50 * 0.15 + 2p * 0.15) = 11.50 2p + 1.50 + (0.225 + 0.3p) = 11.50 Reorder the terms: 1.50 + 0.225 + 2p + 0.3p = 11.50 Combine like terms: 1.50 + 0.225 = 1.725 1.725 + 2p + 0.3p = 11.50 Combine like terms: 2p + 0.3p = 2.3p 1.725 + 2.3p = 11.50 Solving 1.725 + 2.3p = 11.50 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 = 11.50 + -1.725 Combine like terms: 1.725 + -1.725 = 0.000 0.000 + 2.3p = 11.50 + -1.725 2.3p = 11.50 + -1.725 Combine like terms: 11.50 + -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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