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Simplifying p + 5 = -6 + 8 + -1p + -1 Reorder the terms: 5 + p = -6 + 8 + -1p + -1 Reorder the terms: 5 + p = -6 + 8 + -1 + -1p Combine like terms: -6 + 8 = 2 5 + p = 2 + -1 + -1p Combine like terms: 2 + -1 = 1 5 + p = 1 + -1p Solving 5 + p = 1 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. 5 + p + p = 1 + -1p + p Combine like terms: p + p = 2p 5 + 2p = 1 + -1p + p Combine like terms: -1p + p = 0 5 + 2p = 1 + 0 5 + 2p = 1 Add '-5' to each side of the equation. 5 + -5 + 2p = 1 + -5 Combine like terms: 5 + -5 = 0 0 + 2p = 1 + -5 2p = 1 + -5 Combine like terms: 1 + -5 = -4 2p = -4 Divide each side by '2'. p = -2 Simplifying p = -2
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