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Simplifying -3p + 5 = 15 + 4p + -2p Reorder the terms: 5 + -3p = 15 + 4p + -2p Combine like terms: 4p + -2p = 2p 5 + -3p = 15 + 2p Solving 5 + -3p = 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 + -3p + -2p = 15 + 2p + -2p Combine like terms: -3p + -2p = -5p 5 + -5p = 15 + 2p + -2p Combine like terms: 2p + -2p = 0 5 + -5p = 15 + 0 5 + -5p = 15 Add '-5' to each side of the equation. 5 + -5 + -5p = 15 + -5 Combine like terms: 5 + -5 = 0 0 + -5p = 15 + -5 -5p = 15 + -5 Combine like terms: 15 + -5 = 10 -5p = 10 Divide each side by '-5'. p = -2 Simplifying p = -2
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