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Simplifying 1p + 5 = -8 + -2p + 24 Reorder the terms: 5 + 1p = -8 + -2p + 24 Reorder the terms: 5 + 1p = -8 + 24 + -2p Combine like terms: -8 + 24 = 16 5 + 1p = 16 + -2p Solving 5 + 1p = 16 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. 5 + 1p + 2p = 16 + -2p + 2p Combine like terms: 1p + 2p = 3p 5 + 3p = 16 + -2p + 2p Combine like terms: -2p + 2p = 0 5 + 3p = 16 + 0 5 + 3p = 16 Add '-5' to each side of the equation. 5 + -5 + 3p = 16 + -5 Combine like terms: 5 + -5 = 0 0 + 3p = 16 + -5 3p = 16 + -5 Combine like terms: 16 + -5 = 11 3p = 11 Divide each side by '3'. p = 3.666666667 Simplifying p = 3.666666667
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