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Simplifying 46 + -2p = 6 + -7p Solving 46 + -2p = 6 + -7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7p' to each side of the equation. 46 + -2p + 7p = 6 + -7p + 7p Combine like terms: -2p + 7p = 5p 46 + 5p = 6 + -7p + 7p Combine like terms: -7p + 7p = 0 46 + 5p = 6 + 0 46 + 5p = 6 Add '-46' to each side of the equation. 46 + -46 + 5p = 6 + -46 Combine like terms: 46 + -46 = 0 0 + 5p = 6 + -46 5p = 6 + -46 Combine like terms: 6 + -46 = -40 5p = -40 Divide each side by '5'. p = -8 Simplifying p = -8
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