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Simplifying 9(5 + -1p) = -10 + 2p (5 * 9 + -1p * 9) = -10 + 2p (45 + -9p) = -10 + 2p Solving 45 + -9p = -10 + 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. 45 + -9p + -2p = -10 + 2p + -2p Combine like terms: -9p + -2p = -11p 45 + -11p = -10 + 2p + -2p Combine like terms: 2p + -2p = 0 45 + -11p = -10 + 0 45 + -11p = -10 Add '-45' to each side of the equation. 45 + -45 + -11p = -10 + -45 Combine like terms: 45 + -45 = 0 0 + -11p = -10 + -45 -11p = -10 + -45 Combine like terms: -10 + -45 = -55 -11p = -55 Divide each side by '-11'. p = 5 Simplifying p = 5
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