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Simplifying 5p + 15 + 9 = 2p + -6 + 6 Reorder the terms: 15 + 9 + 5p = 2p + -6 + 6 Combine like terms: 15 + 9 = 24 24 + 5p = 2p + -6 + 6 Reorder the terms: 24 + 5p = -6 + 6 + 2p Combine like terms: -6 + 6 = 0 24 + 5p = 0 + 2p 24 + 5p = 2p Solving 24 + 5p = 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. 24 + 5p + -2p = 2p + -2p Combine like terms: 5p + -2p = 3p 24 + 3p = 2p + -2p Combine like terms: 2p + -2p = 0 24 + 3p = 0 Add '-24' to each side of the equation. 24 + -24 + 3p = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 3p = 0 + -24 3p = 0 + -24 Combine like terms: 0 + -24 = -24 3p = -24 Divide each side by '3'. p = -8 Simplifying p = -8
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