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Simplifying 4 + 2p + -1 = 5p + 8 + -2p Reorder the terms: 4 + -1 + 2p = 5p + 8 + -2p Combine like terms: 4 + -1 = 3 3 + 2p = 5p + 8 + -2p Reorder the terms: 3 + 2p = 8 + 5p + -2p Combine like terms: 5p + -2p = 3p 3 + 2p = 8 + 3p Solving 3 + 2p = 8 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 3 + 2p + -3p = 8 + 3p + -3p Combine like terms: 2p + -3p = -1p 3 + -1p = 8 + 3p + -3p Combine like terms: 3p + -3p = 0 3 + -1p = 8 + 0 3 + -1p = 8 Add '-3' to each side of the equation. 3 + -3 + -1p = 8 + -3 Combine like terms: 3 + -3 = 0 0 + -1p = 8 + -3 -1p = 8 + -3 Combine like terms: 8 + -3 = 5 -1p = 5 Divide each side by '-1'. p = -5 Simplifying p = -5
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