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Simplifying 3 + 6p + -2 = 8p + 17 + -4p Reorder the terms: 3 + -2 + 6p = 8p + 17 + -4p Combine like terms: 3 + -2 = 1 1 + 6p = 8p + 17 + -4p Reorder the terms: 1 + 6p = 17 + 8p + -4p Combine like terms: 8p + -4p = 4p 1 + 6p = 17 + 4p Solving 1 + 6p = 17 + 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 + 6p + -4p = 17 + 4p + -4p Combine like terms: 6p + -4p = 2p 1 + 2p = 17 + 4p + -4p Combine like terms: 4p + -4p = 0 1 + 2p = 17 + 0 1 + 2p = 17 Add '-1' to each side of the equation. 1 + -1 + 2p = 17 + -1 Combine like terms: 1 + -1 = 0 0 + 2p = 17 + -1 2p = 17 + -1 Combine like terms: 17 + -1 = 16 2p = 16 Divide each side by '2'. p = 8 Simplifying p = 8
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