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Simplifying 9p + -6 + p + -2 + -6p = 11p + -6 + -5p + 8 + 2p + -6 Reorder the terms: -6 + -2 + 9p + p + -6p = 11p + -6 + -5p + 8 + 2p + -6 Combine like terms: -6 + -2 = -8 -8 + 9p + p + -6p = 11p + -6 + -5p + 8 + 2p + -6 Combine like terms: 9p + p = 10p -8 + 10p + -6p = 11p + -6 + -5p + 8 + 2p + -6 Combine like terms: 10p + -6p = 4p -8 + 4p = 11p + -6 + -5p + 8 + 2p + -6 Reorder the terms: -8 + 4p = -6 + 8 + -6 + 11p + -5p + 2p Combine like terms: -6 + 8 = 2 -8 + 4p = 2 + -6 + 11p + -5p + 2p Combine like terms: 2 + -6 = -4 -8 + 4p = -4 + 11p + -5p + 2p Combine like terms: 11p + -5p = 6p -8 + 4p = -4 + 6p + 2p Combine like terms: 6p + 2p = 8p -8 + 4p = -4 + 8p Solving -8 + 4p = -4 + 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. -8 + 4p + -8p = -4 + 8p + -8p Combine like terms: 4p + -8p = -4p -8 + -4p = -4 + 8p + -8p Combine like terms: 8p + -8p = 0 -8 + -4p = -4 + 0 -8 + -4p = -4 Add '8' to each side of the equation. -8 + 8 + -4p = -4 + 8 Combine like terms: -8 + 8 = 0 0 + -4p = -4 + 8 -4p = -4 + 8 Combine like terms: -4 + 8 = 4 -4p = 4 Divide each side by '-4'. p = -1 Simplifying p = -1
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