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Simplifying ((1.5 + 2p) * 1.5) + 1.5 + 1p = 11.5 Reorder the terms for easier multiplication: (1.5(1.5 + 2p)) + 1.5 + 1p = 11.5 ((1.5 * 1.5 + 2p * 1.5)) + 1.5 + 1p = 11.5 ((2.25 + 3p)) + 1.5 + 1p = 11.5 (2.25 + 3p) + 1.5 + 1p = 11.5 Remove parenthesis around (2.25 + 3p) 2.25 + 3p + 1.5 + 1p = 11.5 Reorder the terms: 2.25 + 1.5 + 3p + 1p = 11.5 Combine like terms: 2.25 + 1.5 = 3.75 3.75 + 3p + 1p = 11.5 Combine like terms: 3p + 1p = 4p 3.75 + 4p = 11.5 Solving 3.75 + 4p = 11.5 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3.75' to each side of the equation. 3.75 + -3.75 + 4p = 11.5 + -3.75 Combine like terms: 3.75 + -3.75 = 0.00 0.00 + 4p = 11.5 + -3.75 4p = 11.5 + -3.75 Combine like terms: 11.5 + -3.75 = 7.75 4p = 7.75 Divide each side by '4'. p = 1.9375 Simplifying p = 1.9375
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