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Simplifying 3 + 2p + -2 = 8p + 9 + -4p Reorder the terms: 3 + -2 + 2p = 8p + 9 + -4p Combine like terms: 3 + -2 = 1 1 + 2p = 8p + 9 + -4p Reorder the terms: 1 + 2p = 9 + 8p + -4p Combine like terms: 8p + -4p = 4p 1 + 2p = 9 + 4p Solving 1 + 2p = 9 + 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. 1 + 2p + -4p = 9 + 4p + -4p Combine like terms: 2p + -4p = -2p 1 + -2p = 9 + 4p + -4p Combine like terms: 4p + -4p = 0 1 + -2p = 9 + 0 1 + -2p = 9 Add '-1' to each side of the equation. 1 + -1 + -2p = 9 + -1 Combine like terms: 1 + -1 = 0 0 + -2p = 9 + -1 -2p = 9 + -1 Combine like terms: 9 + -1 = 8 -2p = 8 Divide each side by '-2'. p = -4 Simplifying p = -4
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