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Simplifying 17 + -2p + 8p + -8 = 10p + 12 + -7p Reorder the terms: 17 + -8 + -2p + 8p = 10p + 12 + -7p Combine like terms: 17 + -8 = 9 9 + -2p + 8p = 10p + 12 + -7p Combine like terms: -2p + 8p = 6p 9 + 6p = 10p + 12 + -7p Reorder the terms: 9 + 6p = 12 + 10p + -7p Combine like terms: 10p + -7p = 3p 9 + 6p = 12 + 3p Solving 9 + 6p = 12 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 9 + 6p + -3p = 12 + 3p + -3p Combine like terms: 6p + -3p = 3p 9 + 3p = 12 + 3p + -3p Combine like terms: 3p + -3p = 0 9 + 3p = 12 + 0 9 + 3p = 12 Add '-9' to each side of the equation. 9 + -9 + 3p = 12 + -9 Combine like terms: 9 + -9 = 0 0 + 3p = 12 + -9 3p = 12 + -9 Combine like terms: 12 + -9 = 3 3p = 3 Divide each side by '3'. p = 1 Simplifying p = 1
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