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Simplifying 1 + -1(p + 2) = 5 + p Reorder the terms: 1 + -1(2 + p) = 5 + p 1 + (2 * -1 + p * -1) = 5 + p 1 + (-2 + -1p) = 5 + p Combine like terms: 1 + -2 = -1 -1 + -1p = 5 + p Solving -1 + -1p = 5 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. -1 + -1p + -1p = 5 + p + -1p Combine like terms: -1p + -1p = -2p -1 + -2p = 5 + p + -1p Combine like terms: p + -1p = 0 -1 + -2p = 5 + 0 -1 + -2p = 5 Add '1' to each side of the equation. -1 + 1 + -2p = 5 + 1 Combine like terms: -1 + 1 = 0 0 + -2p = 5 + 1 -2p = 5 + 1 Combine like terms: 5 + 1 = 6 -2p = 6 Divide each side by '-2'. p = -3 Simplifying p = -3
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