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Simplifying 2p + 5 = -4p + 23 Reorder the terms: 5 + 2p = -4p + 23 Reorder the terms: 5 + 2p = 23 + -4p Solving 5 + 2p = 23 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. 5 + 2p + 4p = 23 + -4p + 4p Combine like terms: 2p + 4p = 6p 5 + 6p = 23 + -4p + 4p Combine like terms: -4p + 4p = 0 5 + 6p = 23 + 0 5 + 6p = 23 Add '-5' to each side of the equation. 5 + -5 + 6p = 23 + -5 Combine like terms: 5 + -5 = 0 0 + 6p = 23 + -5 6p = 23 + -5 Combine like terms: 23 + -5 = 18 6p = 18 Divide each side by '6'. p = 3 Simplifying p = 3
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