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Simplifying -1(7p + -2) + -2p = 24 + 2p Reorder the terms: -1(-2 + 7p) + -2p = 24 + 2p (-2 * -1 + 7p * -1) + -2p = 24 + 2p (2 + -7p) + -2p = 24 + 2p Combine like terms: -7p + -2p = -9p 2 + -9p = 24 + 2p Solving 2 + -9p = 24 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 2 + -9p + -2p = 24 + 2p + -2p Combine like terms: -9p + -2p = -11p 2 + -11p = 24 + 2p + -2p Combine like terms: 2p + -2p = 0 2 + -11p = 24 + 0 2 + -11p = 24 Add '-2' to each side of the equation. 2 + -2 + -11p = 24 + -2 Combine like terms: 2 + -2 = 0 0 + -11p = 24 + -2 -11p = 24 + -2 Combine like terms: 24 + -2 = 22 -11p = 22 Divide each side by '-11'. p = -2 Simplifying p = -2
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