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Simplifying 7 + 8p + -2 = 8p + 17 + -6p Reorder the terms: 7 + -2 + 8p = 8p + 17 + -6p Combine like terms: 7 + -2 = 5 5 + 8p = 8p + 17 + -6p Reorder the terms: 5 + 8p = 17 + 8p + -6p Combine like terms: 8p + -6p = 2p 5 + 8p = 17 + 2p Solving 5 + 8p = 17 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 5 + 8p + -2p = 17 + 2p + -2p Combine like terms: 8p + -2p = 6p 5 + 6p = 17 + 2p + -2p Combine like terms: 2p + -2p = 0 5 + 6p = 17 + 0 5 + 6p = 17 Add '-5' to each side of the equation. 5 + -5 + 6p = 17 + -5 Combine like terms: 5 + -5 = 0 0 + 6p = 17 + -5 6p = 17 + -5 Combine like terms: 17 + -5 = 12 6p = 12 Divide each side by '6'. p = 2 Simplifying p = 2
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