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Simplifying 12 + 10p + 3p = 2p + 7p + 24 Combine like terms: 10p + 3p = 13p 12 + 13p = 2p + 7p + 24 Reorder the terms: 12 + 13p = 24 + 2p + 7p Combine like terms: 2p + 7p = 9p 12 + 13p = 24 + 9p Solving 12 + 13p = 24 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. 12 + 13p + -9p = 24 + 9p + -9p Combine like terms: 13p + -9p = 4p 12 + 4p = 24 + 9p + -9p Combine like terms: 9p + -9p = 0 12 + 4p = 24 + 0 12 + 4p = 24 Add '-12' to each side of the equation. 12 + -12 + 4p = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 4p = 24 + -12 4p = 24 + -12 Combine like terms: 24 + -12 = 12 4p = 12 Divide each side by '4'. p = 3 Simplifying p = 3
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