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Simplifying 6p + -5p + 5 = -8 + -2p + 23 Reorder the terms: 5 + 6p + -5p = -8 + -2p + 23 Combine like terms: 6p + -5p = 1p 5 + 1p = -8 + -2p + 23 Reorder the terms: 5 + 1p = -8 + 23 + -2p Combine like terms: -8 + 23 = 15 5 + 1p = 15 + -2p Solving 5 + 1p = 15 + -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 = 15 + -2p + 2p Combine like terms: 1p + 2p = 3p 5 + 3p = 15 + -2p + 2p Combine like terms: -2p + 2p = 0 5 + 3p = 15 + 0 5 + 3p = 15 Add '-5' to each side of the equation. 5 + -5 + 3p = 15 + -5 Combine like terms: 5 + -5 = 0 0 + 3p = 15 + -5 3p = 15 + -5 Combine like terms: 15 + -5 = 10 3p = 10 Divide each side by '3'. p = 3.333333333 Simplifying p = 3.333333333
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