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Simplifying 7p + 8 = 5(p + 8) Reorder the terms: 8 + 7p = 5(p + 8) Reorder the terms: 8 + 7p = 5(8 + p) 8 + 7p = (8 * 5 + p * 5) 8 + 7p = (40 + 5p) Solving 8 + 7p = 40 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 8 + 7p + -5p = 40 + 5p + -5p Combine like terms: 7p + -5p = 2p 8 + 2p = 40 + 5p + -5p Combine like terms: 5p + -5p = 0 8 + 2p = 40 + 0 8 + 2p = 40 Add '-8' to each side of the equation. 8 + -8 + 2p = 40 + -8 Combine like terms: 8 + -8 = 0 0 + 2p = 40 + -8 2p = 40 + -8 Combine like terms: 40 + -8 = 32 2p = 32 Divide each side by '2'. p = 16 Simplifying p = 16
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