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Simplifying 46 = 8p + 16 + -2p Reorder the terms: 46 = 16 + 8p + -2p Combine like terms: 8p + -2p = 6p 46 = 16 + 6p Solving 46 = 16 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 46 + -6p = 16 + 6p + -6p Combine like terms: 6p + -6p = 0 46 + -6p = 16 + 0 46 + -6p = 16 Add '-46' to each side of the equation. 46 + -46 + -6p = 16 + -46 Combine like terms: 46 + -46 = 0 0 + -6p = 16 + -46 -6p = 16 + -46 Combine like terms: 16 + -46 = -30 -6p = -30 Divide each side by '-6'. p = 5 Simplifying p = 5
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