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Simplifying -9(p + -5) = -11 + 2(p + -5) Reorder the terms: -9(-5 + p) = -11 + 2(p + -5) (-5 * -9 + p * -9) = -11 + 2(p + -5) (45 + -9p) = -11 + 2(p + -5) Reorder the terms: 45 + -9p = -11 + 2(-5 + p) 45 + -9p = -11 + (-5 * 2 + p * 2) 45 + -9p = -11 + (-10 + 2p) Combine like terms: -11 + -10 = -21 45 + -9p = -21 + 2p Solving 45 + -9p = -21 + 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 = -21 + 2p + -2p Combine like terms: -9p + -2p = -11p 45 + -11p = -21 + 2p + -2p Combine like terms: 2p + -2p = 0 45 + -11p = -21 + 0 45 + -11p = -21 Add '-45' to each side of the equation. 45 + -45 + -11p = -21 + -45 Combine like terms: 45 + -45 = 0 0 + -11p = -21 + -45 -11p = -21 + -45 Combine like terms: -21 + -45 = -66 -11p = -66 Divide each side by '-11'. p = 6 Simplifying p = 6
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