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Simplifying 2p + 17 = 8p + 47 Reorder the terms: 17 + 2p = 8p + 47 Reorder the terms: 17 + 2p = 47 + 8p Solving 17 + 2p = 47 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. 17 + 2p + -8p = 47 + 8p + -8p Combine like terms: 2p + -8p = -6p 17 + -6p = 47 + 8p + -8p Combine like terms: 8p + -8p = 0 17 + -6p = 47 + 0 17 + -6p = 47 Add '-17' to each side of the equation. 17 + -17 + -6p = 47 + -17 Combine like terms: 17 + -17 = 0 0 + -6p = 47 + -17 -6p = 47 + -17 Combine like terms: 47 + -17 = 30 -6p = 30 Divide each side by '-6'. p = -5 Simplifying p = -5
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