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Simplifying -7p + -2(2p + -7) = 5 + -2p Reorder the terms: -7p + -2(-7 + 2p) = 5 + -2p -7p + (-7 * -2 + 2p * -2) = 5 + -2p -7p + (14 + -4p) = 5 + -2p Reorder the terms: 14 + -7p + -4p = 5 + -2p Combine like terms: -7p + -4p = -11p 14 + -11p = 5 + -2p Solving 14 + -11p = 5 + -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. 14 + -11p + 2p = 5 + -2p + 2p Combine like terms: -11p + 2p = -9p 14 + -9p = 5 + -2p + 2p Combine like terms: -2p + 2p = 0 14 + -9p = 5 + 0 14 + -9p = 5 Add '-14' to each side of the equation. 14 + -14 + -9p = 5 + -14 Combine like terms: 14 + -14 = 0 0 + -9p = 5 + -14 -9p = 5 + -14 Combine like terms: 5 + -14 = -9 -9p = -9 Divide each side by '-9'. p = 1 Simplifying p = 1
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