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Simplifying 5p + 9 = 3p + 13 Reorder the terms: 9 + 5p = 3p + 13 Reorder the terms: 9 + 5p = 13 + 3p Solving 9 + 5p = 13 + 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. 9 + 5p + -3p = 13 + 3p + -3p Combine like terms: 5p + -3p = 2p 9 + 2p = 13 + 3p + -3p Combine like terms: 3p + -3p = 0 9 + 2p = 13 + 0 9 + 2p = 13 Add '-9' to each side of the equation. 9 + -9 + 2p = 13 + -9 Combine like terms: 9 + -9 = 0 0 + 2p = 13 + -9 2p = 13 + -9 Combine like terms: 13 + -9 = 4 2p = 4 Divide each side by '2'. p = 2 Simplifying p = 2
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