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Simplifying 5p + 3 + -2p = -2p + 10p + 23 Reorder the terms: 3 + 5p + -2p = -2p + 10p + 23 Combine like terms: 5p + -2p = 3p 3 + 3p = -2p + 10p + 23 Reorder the terms: 3 + 3p = 23 + -2p + 10p Combine like terms: -2p + 10p = 8p 3 + 3p = 23 + 8p Solving 3 + 3p = 23 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. 3 + 3p + -8p = 23 + 8p + -8p Combine like terms: 3p + -8p = -5p 3 + -5p = 23 + 8p + -8p Combine like terms: 8p + -8p = 0 3 + -5p = 23 + 0 3 + -5p = 23 Add '-3' to each side of the equation. 3 + -3 + -5p = 23 + -3 Combine like terms: 3 + -3 = 0 0 + -5p = 23 + -3 -5p = 23 + -3 Combine like terms: 23 + -3 = 20 -5p = 20 Divide each side by '-5'. p = -4 Simplifying p = -4
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