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Simplifying 3p + 5 = p + 19 Reorder the terms: 5 + 3p = p + 19 Reorder the terms: 5 + 3p = 19 + p Solving 5 + 3p = 19 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 5 + 3p + -1p = 19 + p + -1p Combine like terms: 3p + -1p = 2p 5 + 2p = 19 + p + -1p Combine like terms: p + -1p = 0 5 + 2p = 19 + 0 5 + 2p = 19 Add '-5' to each side of the equation. 5 + -5 + 2p = 19 + -5 Combine like terms: 5 + -5 = 0 0 + 2p = 19 + -5 2p = 19 + -5 Combine like terms: 19 + -5 = 14 2p = 14 Divide each side by '2'. p = 7 Simplifying p = 7
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