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Simplifying 8(p + 5) = 32 + 6p Reorder the terms: 8(5 + p) = 32 + 6p (5 * 8 + p * 8) = 32 + 6p (40 + 8p) = 32 + 6p Solving 40 + 8p = 32 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 40 + 8p + -6p = 32 + 6p + -6p Combine like terms: 8p + -6p = 2p 40 + 2p = 32 + 6p + -6p Combine like terms: 6p + -6p = 0 40 + 2p = 32 + 0 40 + 2p = 32 Add '-40' to each side of the equation. 40 + -40 + 2p = 32 + -40 Combine like terms: 40 + -40 = 0 0 + 2p = 32 + -40 2p = 32 + -40 Combine like terms: 32 + -40 = -8 2p = -8 Divide each side by '2'. p = -4 Simplifying p = -4
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