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Simplifying 7p + 19 = -2p + 55 Reorder the terms: 19 + 7p = -2p + 55 Reorder the terms: 19 + 7p = 55 + -2p Solving 19 + 7p = 55 + -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 + 7p + 2p = 55 + -2p + 2p Combine like terms: 7p + 2p = 9p 19 + 9p = 55 + -2p + 2p Combine like terms: -2p + 2p = 0 19 + 9p = 55 + 0 19 + 9p = 55 Add '-19' to each side of the equation. 19 + -19 + 9p = 55 + -19 Combine like terms: 19 + -19 = 0 0 + 9p = 55 + -19 9p = 55 + -19 Combine like terms: 55 + -19 = 36 9p = 36 Divide each side by '9'. p = 4 Simplifying p = 4
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