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Simplifying 5p + 7 = 3(p + 4) Reorder the terms: 7 + 5p = 3(p + 4) Reorder the terms: 7 + 5p = 3(4 + p) 7 + 5p = (4 * 3 + p * 3) 7 + 5p = (12 + 3p) Solving 7 + 5p = 12 + 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 = 12 + 3p + -3p Combine like terms: 5p + -3p = 2p 7 + 2p = 12 + 3p + -3p Combine like terms: 3p + -3p = 0 7 + 2p = 12 + 0 7 + 2p = 12 Add '-7' to each side of the equation. 7 + -7 + 2p = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 2p = 12 + -7 2p = 12 + -7 Combine like terms: 12 + -7 = 5 2p = 5 Divide each side by '2'. p = 2.5 Simplifying p = 2.5
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