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Simplifying 5p + 8 = 3p + 10 Reorder the terms: 8 + 5p = 3p + 10 Reorder the terms: 8 + 5p = 10 + 3p Solving 8 + 5p = 10 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 8 + 5p + -3p = 10 + 3p + -3p Combine like terms: 5p + -3p = 2p 8 + 2p = 10 + 3p + -3p Combine like terms: 3p + -3p = 0 8 + 2p = 10 + 0 8 + 2p = 10 Add '-8' to each side of the equation. 8 + -8 + 2p = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 2p = 10 + -8 2p = 10 + -8 Combine like terms: 10 + -8 = 2 2p = 2 Divide each side by '2'. p = 1 Simplifying p = 1
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