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Simplifying 8 + 4p + -5 = 4p + 21 + -2p Reorder the terms: 8 + -5 + 4p = 4p + 21 + -2p Combine like terms: 8 + -5 = 3 3 + 4p = 4p + 21 + -2p Reorder the terms: 3 + 4p = 21 + 4p + -2p Combine like terms: 4p + -2p = 2p 3 + 4p = 21 + 2p Solving 3 + 4p = 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. 3 + 4p + -2p = 21 + 2p + -2p Combine like terms: 4p + -2p = 2p 3 + 2p = 21 + 2p + -2p Combine like terms: 2p + -2p = 0 3 + 2p = 21 + 0 3 + 2p = 21 Add '-3' to each side of the equation. 3 + -3 + 2p = 21 + -3 Combine like terms: 3 + -3 = 0 0 + 2p = 21 + -3 2p = 21 + -3 Combine like terms: 21 + -3 = 18 2p = 18 Divide each side by '2'. p = 9 Simplifying p = 9
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