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Simplifying 8 + 2p + -5 = 9p + 5 + -6p Reorder the terms: 8 + -5 + 2p = 9p + 5 + -6p Combine like terms: 8 + -5 = 3 3 + 2p = 9p + 5 + -6p Reorder the terms: 3 + 2p = 5 + 9p + -6p Combine like terms: 9p + -6p = 3p 3 + 2p = 5 + 3p Solving 3 + 2p = 5 + 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 = 5 + 3p + -3p Combine like terms: 2p + -3p = -1p 3 + -1p = 5 + 3p + -3p Combine like terms: 3p + -3p = 0 3 + -1p = 5 + 0 3 + -1p = 5 Add '-3' to each side of the equation. 3 + -3 + -1p = 5 + -3 Combine like terms: 3 + -3 = 0 0 + -1p = 5 + -3 -1p = 5 + -3 Combine like terms: 5 + -3 = 2 -1p = 2 Divide each side by '-1'. p = -2 Simplifying p = -2
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