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Simplifying 6p + 50 = 4p + 100 Reorder the terms: 50 + 6p = 4p + 100 Reorder the terms: 50 + 6p = 100 + 4p Solving 50 + 6p = 100 + 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. 50 + 6p + -4p = 100 + 4p + -4p Combine like terms: 6p + -4p = 2p 50 + 2p = 100 + 4p + -4p Combine like terms: 4p + -4p = 0 50 + 2p = 100 + 0 50 + 2p = 100 Add '-50' to each side of the equation. 50 + -50 + 2p = 100 + -50 Combine like terms: 50 + -50 = 0 0 + 2p = 100 + -50 2p = 100 + -50 Combine like terms: 100 + -50 = 50 2p = 50 Divide each side by '2'. p = 25 Simplifying p = 25
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