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Simplifying -7(7 + p) = 2p + 5 (7 * -7 + p * -7) = 2p + 5 (-49 + -7p) = 2p + 5 Reorder the terms: -49 + -7p = 5 + 2p Solving -49 + -7p = 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. -49 + -7p + -2p = 5 + 2p + -2p Combine like terms: -7p + -2p = -9p -49 + -9p = 5 + 2p + -2p Combine like terms: 2p + -2p = 0 -49 + -9p = 5 + 0 -49 + -9p = 5 Add '49' to each side of the equation. -49 + 49 + -9p = 5 + 49 Combine like terms: -49 + 49 = 0 0 + -9p = 5 + 49 -9p = 5 + 49 Combine like terms: 5 + 49 = 54 -9p = 54 Divide each side by '-9'. p = -6 Simplifying p = -6
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