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Simplifying -2p + 5(-24p + 69) = 7(63p + -24) + -50 Reorder the terms: -2p + 5(69 + -24p) = 7(63p + -24) + -50 -2p + (69 * 5 + -24p * 5) = 7(63p + -24) + -50 -2p + (345 + -120p) = 7(63p + -24) + -50 Reorder the terms: 345 + -2p + -120p = 7(63p + -24) + -50 Combine like terms: -2p + -120p = -122p 345 + -122p = 7(63p + -24) + -50 Reorder the terms: 345 + -122p = 7(-24 + 63p) + -50 345 + -122p = (-24 * 7 + 63p * 7) + -50 345 + -122p = (-168 + 441p) + -50 Reorder the terms: 345 + -122p = -168 + -50 + 441p Combine like terms: -168 + -50 = -218 345 + -122p = -218 + 441p Solving 345 + -122p = -218 + 441p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-441p' to each side of the equation. 345 + -122p + -441p = -218 + 441p + -441p Combine like terms: -122p + -441p = -563p 345 + -563p = -218 + 441p + -441p Combine like terms: 441p + -441p = 0 345 + -563p = -218 + 0 345 + -563p = -218 Add '-345' to each side of the equation. 345 + -345 + -563p = -218 + -345 Combine like terms: 345 + -345 = 0 0 + -563p = -218 + -345 -563p = -218 + -345 Combine like terms: -218 + -345 = -563 -563p = -563 Divide each side by '-563'. p = 1 Simplifying p = 1
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