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Simplifying 7 + 5p + -4 = 9p + 24 + -7p Reorder the terms: 7 + -4 + 5p = 9p + 24 + -7p Combine like terms: 7 + -4 = 3 3 + 5p = 9p + 24 + -7p Reorder the terms: 3 + 5p = 24 + 9p + -7p Combine like terms: 9p + -7p = 2p 3 + 5p = 24 + 2p Solving 3 + 5p = 24 + 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. 3 + 5p + -2p = 24 + 2p + -2p Combine like terms: 5p + -2p = 3p 3 + 3p = 24 + 2p + -2p Combine like terms: 2p + -2p = 0 3 + 3p = 24 + 0 3 + 3p = 24 Add '-3' to each side of the equation. 3 + -3 + 3p = 24 + -3 Combine like terms: 3 + -3 = 0 0 + 3p = 24 + -3 3p = 24 + -3 Combine like terms: 24 + -3 = 21 3p = 21 Divide each side by '3'. p = 7 Simplifying p = 7
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