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Simplifying 9p + 8 + -1p = 2(2p + 8) Reorder the terms: 8 + 9p + -1p = 2(2p + 8) Combine like terms: 9p + -1p = 8p 8 + 8p = 2(2p + 8) Reorder the terms: 8 + 8p = 2(8 + 2p) 8 + 8p = (8 * 2 + 2p * 2) 8 + 8p = (16 + 4p) Solving 8 + 8p = 16 + 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. 8 + 8p + -4p = 16 + 4p + -4p Combine like terms: 8p + -4p = 4p 8 + 4p = 16 + 4p + -4p Combine like terms: 4p + -4p = 0 8 + 4p = 16 + 0 8 + 4p = 16 Add '-8' to each side of the equation. 8 + -8 + 4p = 16 + -8 Combine like terms: 8 + -8 = 0 0 + 4p = 16 + -8 4p = 16 + -8 Combine like terms: 16 + -8 = 8 4p = 8 Divide each side by '4'. p = 2 Simplifying p = 2
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