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Simplifying 3 + 12p + -1 = 7p + 32 + -5p Reorder the terms: 3 + -1 + 12p = 7p + 32 + -5p Combine like terms: 3 + -1 = 2 2 + 12p = 7p + 32 + -5p Reorder the terms: 2 + 12p = 32 + 7p + -5p Combine like terms: 7p + -5p = 2p 2 + 12p = 32 + 2p Solving 2 + 12p = 32 + 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. 2 + 12p + -2p = 32 + 2p + -2p Combine like terms: 12p + -2p = 10p 2 + 10p = 32 + 2p + -2p Combine like terms: 2p + -2p = 0 2 + 10p = 32 + 0 2 + 10p = 32 Add '-2' to each side of the equation. 2 + -2 + 10p = 32 + -2 Combine like terms: 2 + -2 = 0 0 + 10p = 32 + -2 10p = 32 + -2 Combine like terms: 32 + -2 = 30 10p = 30 Divide each side by '10'. p = 3 Simplifying p = 3
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