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Simplifying 2p + 4(3.50 + -1p) = 32.50 2p + (3.50 * 4 + -1p * 4) = 32.50 2p + (14 + -4p) = 32.50 Reorder the terms: 14 + 2p + -4p = 32.50 Combine like terms: 2p + -4p = -2p 14 + -2p = 32.50 Solving 14 + -2p = 32.50 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -2p = 32.50 + -14 Combine like terms: 14 + -14 = 0 0 + -2p = 32.50 + -14 -2p = 32.50 + -14 Combine like terms: 32.50 + -14 = 18.5 -2p = 18.5 Divide each side by '-2'. p = -9.25 Simplifying p = -9.25
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