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Simplifying 7 + 12p + -2 = 9p + 45 + -7p Reorder the terms: 7 + -2 + 12p = 9p + 45 + -7p Combine like terms: 7 + -2 = 5 5 + 12p = 9p + 45 + -7p Reorder the terms: 5 + 12p = 45 + 9p + -7p Combine like terms: 9p + -7p = 2p 5 + 12p = 45 + 2p Solving 5 + 12p = 45 + 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. 5 + 12p + -2p = 45 + 2p + -2p Combine like terms: 12p + -2p = 10p 5 + 10p = 45 + 2p + -2p Combine like terms: 2p + -2p = 0 5 + 10p = 45 + 0 5 + 10p = 45 Add '-5' to each side of the equation. 5 + -5 + 10p = 45 + -5 Combine like terms: 5 + -5 = 0 0 + 10p = 45 + -5 10p = 45 + -5 Combine like terms: 45 + -5 = 40 10p = 40 Divide each side by '10'. p = 4 Simplifying p = 4
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