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Simplifying -1 + 6p + 6 = 8p + 11 Reorder the terms: -1 + 6 + 6p = 8p + 11 Combine like terms: -1 + 6 = 5 5 + 6p = 8p + 11 Reorder the terms: 5 + 6p = 11 + 8p Solving 5 + 6p = 11 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. 5 + 6p + -8p = 11 + 8p + -8p Combine like terms: 6p + -8p = -2p 5 + -2p = 11 + 8p + -8p Combine like terms: 8p + -8p = 0 5 + -2p = 11 + 0 5 + -2p = 11 Add '-5' to each side of the equation. 5 + -5 + -2p = 11 + -5 Combine like terms: 5 + -5 = 0 0 + -2p = 11 + -5 -2p = 11 + -5 Combine like terms: 11 + -5 = 6 -2p = 6 Divide each side by '-2'. p = -3 Simplifying p = -3
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