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Simplifying 4p + 1 + -1p = 1 + p + -2 Reorder the terms: 1 + 4p + -1p = 1 + p + -2 Combine like terms: 4p + -1p = 3p 1 + 3p = 1 + p + -2 Reorder the terms: 1 + 3p = 1 + -2 + p Combine like terms: 1 + -2 = -1 1 + 3p = -1 + p Solving 1 + 3p = -1 + 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 + 3p + -1p = -1 + p + -1p Combine like terms: 3p + -1p = 2p 1 + 2p = -1 + p + -1p Combine like terms: p + -1p = 0 1 + 2p = -1 + 0 1 + 2p = -1 Add '-1' to each side of the equation. 1 + -1 + 2p = -1 + -1 Combine like terms: 1 + -1 = 0 0 + 2p = -1 + -1 2p = -1 + -1 Combine like terms: -1 + -1 = -2 2p = -2 Divide each side by '2'. p = -1 Simplifying p = -1
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