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Simplifying -11p + 16 + 4 = -2p + 7 + 40 Reorder the terms: 16 + 4 + -11p = -2p + 7 + 40 Combine like terms: 16 + 4 = 20 20 + -11p = -2p + 7 + 40 Reorder the terms: 20 + -11p = 7 + 40 + -2p Combine like terms: 7 + 40 = 47 20 + -11p = 47 + -2p Solving 20 + -11p = 47 + -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. 20 + -11p + 2p = 47 + -2p + 2p Combine like terms: -11p + 2p = -9p 20 + -9p = 47 + -2p + 2p Combine like terms: -2p + 2p = 0 20 + -9p = 47 + 0 20 + -9p = 47 Add '-20' to each side of the equation. 20 + -20 + -9p = 47 + -20 Combine like terms: 20 + -20 = 0 0 + -9p = 47 + -20 -9p = 47 + -20 Combine like terms: 47 + -20 = 27 -9p = 27 Divide each side by '-9'. p = -3 Simplifying p = -3
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