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Simplifying 5p + 1 = 2p + 7 Reorder the terms: 1 + 5p = 2p + 7 Reorder the terms: 1 + 5p = 7 + 2p Solving 1 + 5p = 7 + 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. 1 + 5p + -2p = 7 + 2p + -2p Combine like terms: 5p + -2p = 3p 1 + 3p = 7 + 2p + -2p Combine like terms: 2p + -2p = 0 1 + 3p = 7 + 0 1 + 3p = 7 Add '-1' to each side of the equation. 1 + -1 + 3p = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 3p = 7 + -1 3p = 7 + -1 Combine like terms: 7 + -1 = 6 3p = 6 Divide each side by '3'. p = 2 Simplifying p = 2
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