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Simplifying 8 + 8p + -3 = 9p + 21 + -3p Reorder the terms: 8 + -3 + 8p = 9p + 21 + -3p Combine like terms: 8 + -3 = 5 5 + 8p = 9p + 21 + -3p Reorder the terms: 5 + 8p = 21 + 9p + -3p Combine like terms: 9p + -3p = 6p 5 + 8p = 21 + 6p Solving 5 + 8p = 21 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 5 + 8p + -6p = 21 + 6p + -6p Combine like terms: 8p + -6p = 2p 5 + 2p = 21 + 6p + -6p Combine like terms: 6p + -6p = 0 5 + 2p = 21 + 0 5 + 2p = 21 Add '-5' to each side of the equation. 5 + -5 + 2p = 21 + -5 Combine like terms: 5 + -5 = 0 0 + 2p = 21 + -5 2p = 21 + -5 Combine like terms: 21 + -5 = 16 2p = 16 Divide each side by '2'. p = 8 Simplifying p = 8
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