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Simplifying 1000 + -2p = 500 + 6p Solving 1000 + -2p = 500 + 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. 1000 + -2p + -6p = 500 + 6p + -6p Combine like terms: -2p + -6p = -8p 1000 + -8p = 500 + 6p + -6p Combine like terms: 6p + -6p = 0 1000 + -8p = 500 + 0 1000 + -8p = 500 Add '-1000' to each side of the equation. 1000 + -1000 + -8p = 500 + -1000 Combine like terms: 1000 + -1000 = 0 0 + -8p = 500 + -1000 -8p = 500 + -1000 Combine like terms: 500 + -1000 = -500 -8p = -500 Divide each side by '-8'. p = 62.5 Simplifying p = 62.5
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