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Simplifying 23 + 5p = 7(1 + p) 23 + 5p = (1 * 7 + p * 7) 23 + 5p = (7 + 7p) Solving 23 + 5p = 7 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. 23 + 5p + -7p = 7 + 7p + -7p Combine like terms: 5p + -7p = -2p 23 + -2p = 7 + 7p + -7p Combine like terms: 7p + -7p = 0 23 + -2p = 7 + 0 23 + -2p = 7 Add '-23' to each side of the equation. 23 + -23 + -2p = 7 + -23 Combine like terms: 23 + -23 = 0 0 + -2p = 7 + -23 -2p = 7 + -23 Combine like terms: 7 + -23 = -16 -2p = -16 Divide each side by '-2'. p = 8 Simplifying p = 8
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