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Simplifying 8 + 12p + -4 = 9p + 44 + -7p Reorder the terms: 8 + -4 + 12p = 9p + 44 + -7p Combine like terms: 8 + -4 = 4 4 + 12p = 9p + 44 + -7p Reorder the terms: 4 + 12p = 44 + 9p + -7p Combine like terms: 9p + -7p = 2p 4 + 12p = 44 + 2p Solving 4 + 12p = 44 + 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. 4 + 12p + -2p = 44 + 2p + -2p Combine like terms: 12p + -2p = 10p 4 + 10p = 44 + 2p + -2p Combine like terms: 2p + -2p = 0 4 + 10p = 44 + 0 4 + 10p = 44 Add '-4' to each side of the equation. 4 + -4 + 10p = 44 + -4 Combine like terms: 4 + -4 = 0 0 + 10p = 44 + -4 10p = 44 + -4 Combine like terms: 44 + -4 = 40 10p = 40 Divide each side by '10'. p = 4 Simplifying p = 4
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