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Simplifying 3p + 1 = p + 7 Reorder the terms: 1 + 3p = p + 7 Reorder the terms: 1 + 3p = 7 + p Solving 1 + 3p = 7 + 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. 1 + 3p + -1p = 7 + p + -1p Combine like terms: 3p + -1p = 2p 1 + 2p = 7 + p + -1p Combine like terms: p + -1p = 0 1 + 2p = 7 + 0 1 + 2p = 7 Add '-1' to each side of the equation. 1 + -1 + 2p = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 2p = 7 + -1 2p = 7 + -1 Combine like terms: 7 + -1 = 6 2p = 6 Divide each side by '2'. p = 3 Simplifying p = 3
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