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Simplifying 24 + 2p = 8(p + 8) + -1p Reorder the terms: 24 + 2p = 8(8 + p) + -1p 24 + 2p = (8 * 8 + p * 8) + -1p 24 + 2p = (64 + 8p) + -1p Combine like terms: 8p + -1p = 7p 24 + 2p = 64 + 7p Solving 24 + 2p = 64 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. 24 + 2p + -7p = 64 + 7p + -7p Combine like terms: 2p + -7p = -5p 24 + -5p = 64 + 7p + -7p Combine like terms: 7p + -7p = 0 24 + -5p = 64 + 0 24 + -5p = 64 Add '-24' to each side of the equation. 24 + -24 + -5p = 64 + -24 Combine like terms: 24 + -24 = 0 0 + -5p = 64 + -24 -5p = 64 + -24 Combine like terms: 64 + -24 = 40 -5p = 40 Divide each side by '-5'. p = -8 Simplifying p = -8
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