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Simplifying 5p + 7 = 3(p + 5) Reorder the terms: 7 + 5p = 3(p + 5) Reorder the terms: 7 + 5p = 3(5 + p) 7 + 5p = (5 * 3 + p * 3) 7 + 5p = (15 + 3p) Solving 7 + 5p = 15 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 7 + 5p + -3p = 15 + 3p + -3p Combine like terms: 5p + -3p = 2p 7 + 2p = 15 + 3p + -3p Combine like terms: 3p + -3p = 0 7 + 2p = 15 + 0 7 + 2p = 15 Add '-7' to each side of the equation. 7 + -7 + 2p = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 2p = 15 + -7 2p = 15 + -7 Combine like terms: 15 + -7 = 8 2p = 8 Divide each side by '2'. p = 4 Simplifying p = 4
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