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Simplifying -7p + -24 = -8p + 40 + -15p Reorder the terms: -24 + -7p = -8p + 40 + -15p Reorder the terms: -24 + -7p = 40 + -8p + -15p Combine like terms: -8p + -15p = -23p -24 + -7p = 40 + -23p Solving -24 + -7p = 40 + -23p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '23p' to each side of the equation. -24 + -7p + 23p = 40 + -23p + 23p Combine like terms: -7p + 23p = 16p -24 + 16p = 40 + -23p + 23p Combine like terms: -23p + 23p = 0 -24 + 16p = 40 + 0 -24 + 16p = 40 Add '24' to each side of the equation. -24 + 24 + 16p = 40 + 24 Combine like terms: -24 + 24 = 0 0 + 16p = 40 + 24 16p = 40 + 24 Combine like terms: 40 + 24 = 64 16p = 64 Divide each side by '16'. p = 4 Simplifying p = 4
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