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Simplifying 46 + 2p = 4p + 18 Reorder the terms: 46 + 2p = 18 + 4p Solving 46 + 2p = 18 + 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. 46 + 2p + -4p = 18 + 4p + -4p Combine like terms: 2p + -4p = -2p 46 + -2p = 18 + 4p + -4p Combine like terms: 4p + -4p = 0 46 + -2p = 18 + 0 46 + -2p = 18 Add '-46' to each side of the equation. 46 + -46 + -2p = 18 + -46 Combine like terms: 46 + -46 = 0 0 + -2p = 18 + -46 -2p = 18 + -46 Combine like terms: 18 + -46 = -28 -2p = -28 Divide each side by '-2'. p = 14 Simplifying p = 14
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