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Simplifying -2p + 7 = 5 + -1(11p + 2) Reorder the terms: 7 + -2p = 5 + -1(11p + 2) Reorder the terms: 7 + -2p = 5 + -1(2 + 11p) 7 + -2p = 5 + (2 * -1 + 11p * -1) 7 + -2p = 5 + (-2 + -11p) Combine like terms: 5 + -2 = 3 7 + -2p = 3 + -11p Solving 7 + -2p = 3 + -11p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '11p' to each side of the equation. 7 + -2p + 11p = 3 + -11p + 11p Combine like terms: -2p + 11p = 9p 7 + 9p = 3 + -11p + 11p Combine like terms: -11p + 11p = 0 7 + 9p = 3 + 0 7 + 9p = 3 Add '-7' to each side of the equation. 7 + -7 + 9p = 3 + -7 Combine like terms: 7 + -7 = 0 0 + 9p = 3 + -7 9p = 3 + -7 Combine like terms: 3 + -7 = -4 9p = -4 Divide each side by '9'. p = -0.4444444444 Simplifying p = -0.4444444444
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