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Simplifying 8 + 2p + -6 = 9p + 10 + -5p Reorder the terms: 8 + -6 + 2p = 9p + 10 + -5p Combine like terms: 8 + -6 = 2 2 + 2p = 9p + 10 + -5p Reorder the terms: 2 + 2p = 10 + 9p + -5p Combine like terms: 9p + -5p = 4p 2 + 2p = 10 + 4p Solving 2 + 2p = 10 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 2 + 2p + -4p = 10 + 4p + -4p Combine like terms: 2p + -4p = -2p 2 + -2p = 10 + 4p + -4p Combine like terms: 4p + -4p = 0 2 + -2p = 10 + 0 2 + -2p = 10 Add '-2' to each side of the equation. 2 + -2 + -2p = 10 + -2 Combine like terms: 2 + -2 = 0 0 + -2p = 10 + -2 -2p = 10 + -2 Combine like terms: 10 + -2 = 8 -2p = 8 Divide each side by '-2'. p = -4 Simplifying p = -4
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