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Simplifying 4(4 + 8p) = 6(5p + 5) (4 * 4 + 8p * 4) = 6(5p + 5) (16 + 32p) = 6(5p + 5) Reorder the terms: 16 + 32p = 6(5 + 5p) 16 + 32p = (5 * 6 + 5p * 6) 16 + 32p = (30 + 30p) Solving 16 + 32p = 30 + 30p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-30p' to each side of the equation. 16 + 32p + -30p = 30 + 30p + -30p Combine like terms: 32p + -30p = 2p 16 + 2p = 30 + 30p + -30p Combine like terms: 30p + -30p = 0 16 + 2p = 30 + 0 16 + 2p = 30 Add '-16' to each side of the equation. 16 + -16 + 2p = 30 + -16 Combine like terms: 16 + -16 = 0 0 + 2p = 30 + -16 2p = 30 + -16 Combine like terms: 30 + -16 = 14 2p = 14 Divide each side by '2'. p = 7 Simplifying p = 7
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