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