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Simplifying 3p + 19 = -2p + 42 Reorder the terms: 19 + 3p = -2p + 42 Reorder the terms: 19 + 3p = 42 + -2p Solving 19 + 3p = 42 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. 19 + 3p + 2p = 42 + -2p + 2p Combine like terms: 3p + 2p = 5p 19 + 5p = 42 + -2p + 2p Combine like terms: -2p + 2p = 0 19 + 5p = 42 + 0 19 + 5p = 42 Add '-19' to each side of the equation. 19 + -19 + 5p = 42 + -19 Combine like terms: 19 + -19 = 0 0 + 5p = 42 + -19 5p = 42 + -19 Combine like terms: 42 + -19 = 23 5p = 23 Divide each side by '5'. p = 4.6 Simplifying p = 4.6
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