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