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Simplifying 5p + 8 = 3p + 10 + -2 Reorder the terms: 8 + 5p = 3p + 10 + -2 Reorder the terms: 8 + 5p = 10 + -2 + 3p Combine like terms: 10 + -2 = 8 8 + 5p = 8 + 3p Add '-8' to each side of the equation. 8 + -8 + 5p = 8 + -8 + 3p Combine like terms: 8 + -8 = 0 0 + 5p = 8 + -8 + 3p 5p = 8 + -8 + 3p Combine like terms: 8 + -8 = 0 5p = 0 + 3p 5p = 3p Solving 5p = 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. 5p + -3p = 3p + -3p Combine like terms: 5p + -3p = 2p 2p = 3p + -3p Combine like terms: 3p + -3p = 0 2p = 0 Divide each side by '2'. p = 0 Simplifying p = 0
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