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Simplifying 2p + 8 = 6 + -1(11p + 5) Reorder the terms: 8 + 2p = 6 + -1(11p + 5) Reorder the terms: 8 + 2p = 6 + -1(5 + 11p) 8 + 2p = 6 + (5 * -1 + 11p * -1) 8 + 2p = 6 + (-5 + -11p) Combine like terms: 6 + -5 = 1 8 + 2p = 1 + -11p Solving 8 + 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. 8 + 2p + 11p = 1 + -11p + 11p Combine like terms: 2p + 11p = 13p 8 + 13p = 1 + -11p + 11p Combine like terms: -11p + 11p = 0 8 + 13p = 1 + 0 8 + 13p = 1 Add '-8' to each side of the equation. 8 + -8 + 13p = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 13p = 1 + -8 13p = 1 + -8 Combine like terms: 1 + -8 = -7 13p = -7 Divide each side by '13'. p = -0.5384615385 Simplifying p = -0.5384615385
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