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Simplifying p + -1(p + 4) = 5 + -2p Reorder the terms: p + -1(4 + p) = 5 + -2p p + (4 * -1 + p * -1) = 5 + -2p p + (-4 + -1p) = 5 + -2p Reorder the terms: -4 + p + -1p = 5 + -2p Combine like terms: p + -1p = 0 -4 + 0 = 5 + -2p -4 = 5 + -2p Solving -4 = 5 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. -4 + 2p = 5 + -2p + 2p Combine like terms: -2p + 2p = 0 -4 + 2p = 5 + 0 -4 + 2p = 5 Add '4' to each side of the equation. -4 + 4 + 2p = 5 + 4 Combine like terms: -4 + 4 = 0 0 + 2p = 5 + 4 2p = 5 + 4 Combine like terms: 5 + 4 = 9 2p = 9 Divide each side by '2'. p = 4.5 Simplifying p = 4.5
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