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Simplifying 8 = p + 13 + -3p Reorder the terms: 8 = 13 + p + -3p Combine like terms: p + -3p = -2p 8 = 13 + -2p Solving 8 = 13 + -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. 8 + 2p = 13 + -2p + 2p Combine like terms: -2p + 2p = 0 8 + 2p = 13 + 0 8 + 2p = 13 Add '-8' to each side of the equation. 8 + -8 + 2p = 13 + -8 Combine like terms: 8 + -8 = 0 0 + 2p = 13 + -8 2p = 13 + -8 Combine like terms: 13 + -8 = 5 2p = 5 Divide each side by '2'. p = 2.5 Simplifying p = 2.5
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