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Simplifying 5p + -8 = 2p + 1 Reorder the terms: -8 + 5p = 2p + 1 Reorder the terms: -8 + 5p = 1 + 2p Solving -8 + 5p = 1 + 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 + 5p + -2p = 1 + 2p + -2p Combine like terms: 5p + -2p = 3p -8 + 3p = 1 + 2p + -2p Combine like terms: 2p + -2p = 0 -8 + 3p = 1 + 0 -8 + 3p = 1 Add '8' to each side of the equation. -8 + 8 + 3p = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 3p = 1 + 8 3p = 1 + 8 Combine like terms: 1 + 8 = 9 3p = 9 Divide each side by '3'. p = 3 Simplifying p = 3
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