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Simplifying 5p + 1 = 3p + 13 Reorder the terms: 1 + 5p = 3p + 13 Reorder the terms: 1 + 5p = 13 + 3p Solving 1 + 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. 1 + 5p + -3p = 13 + 3p + -3p Combine like terms: 5p + -3p = 2p 1 + 2p = 13 + 3p + -3p Combine like terms: 3p + -3p = 0 1 + 2p = 13 + 0 1 + 2p = 13 Add '-1' to each side of the equation. 1 + -1 + 2p = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 2p = 13 + -1 2p = 13 + -1 Combine like terms: 13 + -1 = 12 2p = 12 Divide each side by '2'. p = 6 Simplifying p = 6
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