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Simplifying 2p + 7 = 5 + -1(11p + 6) Reorder the terms: 7 + 2p = 5 + -1(11p + 6) Reorder the terms: 7 + 2p = 5 + -1(6 + 11p) 7 + 2p = 5 + (6 * -1 + 11p * -1) 7 + 2p = 5 + (-6 + -11p) Combine like terms: 5 + -6 = -1 7 + 2p = -1 + -11p Solving 7 + 2p = -1 + -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 = -1 + -11p + 11p Combine like terms: 2p + 11p = 13p 7 + 13p = -1 + -11p + 11p Combine like terms: -11p + 11p = 0 7 + 13p = -1 + 0 7 + 13p = -1 Add '-7' to each side of the equation. 7 + -7 + 13p = -1 + -7 Combine like terms: 7 + -7 = 0 0 + 13p = -1 + -7 13p = -1 + -7 Combine like terms: -1 + -7 = -8 13p = -8 Divide each side by '13'. p = -0.6153846154 Simplifying p = -0.6153846154
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