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Simplifying 7p + 3p + 5 = 2p + 21 Reorder the terms: 5 + 7p + 3p = 2p + 21 Combine like terms: 7p + 3p = 10p 5 + 10p = 2p + 21 Reorder the terms: 5 + 10p = 21 + 2p Solving 5 + 10p = 21 + 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 + 10p + -2p = 21 + 2p + -2p Combine like terms: 10p + -2p = 8p 5 + 8p = 21 + 2p + -2p Combine like terms: 2p + -2p = 0 5 + 8p = 21 + 0 5 + 8p = 21 Add '-5' to each side of the equation. 5 + -5 + 8p = 21 + -5 Combine like terms: 5 + -5 = 0 0 + 8p = 21 + -5 8p = 21 + -5 Combine like terms: 21 + -5 = 16 8p = 16 Divide each side by '8'. p = 2 Simplifying p = 2
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