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Simplifying 4p + 14 = 2p + 30 Reorder the terms: 14 + 4p = 2p + 30 Reorder the terms: 14 + 4p = 30 + 2p Solving 14 + 4p = 30 + 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. 14 + 4p + -2p = 30 + 2p + -2p Combine like terms: 4p + -2p = 2p 14 + 2p = 30 + 2p + -2p Combine like terms: 2p + -2p = 0 14 + 2p = 30 + 0 14 + 2p = 30 Add '-14' to each side of the equation. 14 + -14 + 2p = 30 + -14 Combine like terms: 14 + -14 = 0 0 + 2p = 30 + -14 2p = 30 + -14 Combine like terms: 30 + -14 = 16 2p = 16 Divide each side by '2'. p = 8 Simplifying p = 8
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