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Simplifying 9p + -6 + 6 + p + -2 + -6p = 11p + -6 + -5p + 8 + 2p + -6 Reorder the terms: -6 + 6 + -2 + 9p + p + -6p = 11p + -6 + -5p + 8 + 2p + -6 Combine like terms: -6 + 6 = 0 0 + -2 + 9p + p + -6p = 11p + -6 + -5p + 8 + 2p + -6 -2 + 9p + p + -6p = 11p + -6 + -5p + 8 + 2p + -6 Combine like terms: 9p + p = 10p -2 + 10p + -6p = 11p + -6 + -5p + 8 + 2p + -6 Combine like terms: 10p + -6p = 4p -2 + 4p = 11p + -6 + -5p + 8 + 2p + -6 Reorder the terms: -2 + 4p = -6 + 8 + -6 + 11p + -5p + 2p Combine like terms: -6 + 8 = 2 -2 + 4p = 2 + -6 + 11p + -5p + 2p Combine like terms: 2 + -6 = -4 -2 + 4p = -4 + 11p + -5p + 2p Combine like terms: 11p + -5p = 6p -2 + 4p = -4 + 6p + 2p Combine like terms: 6p + 2p = 8p -2 + 4p = -4 + 8p Solving -2 + 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. -2 + 4p + -8p = -4 + 8p + -8p Combine like terms: 4p + -8p = -4p -2 + -4p = -4 + 8p + -8p Combine like terms: 8p + -8p = 0 -2 + -4p = -4 + 0 -2 + -4p = -4 Add '2' to each side of the equation. -2 + 2 + -4p = -4 + 2 Combine like terms: -2 + 2 = 0 0 + -4p = -4 + 2 -4p = -4 + 2 Combine like terms: -4 + 2 = -2 -4p = -2 Divide each side by '-4'. p = 0.5 Simplifying p = 0.5
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