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Simplifying p + 5 = 8 + -2p Reorder the terms: 5 + p = 8 + -2p Solving 5 + p = 8 + -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 + p + 2p = 8 + -2p + 2p Combine like terms: p + 2p = 3p 5 + 3p = 8 + -2p + 2p Combine like terms: -2p + 2p = 0 5 + 3p = 8 + 0 5 + 3p = 8 Add '-5' to each side of the equation. 5 + -5 + 3p = 8 + -5 Combine like terms: 5 + -5 = 0 0 + 3p = 8 + -5 3p = 8 + -5 Combine like terms: 8 + -5 = 3 3p = 3 Divide each side by '3'. p = 1 Simplifying p = 1
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