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Simplifying 12p + 7 = 9p + 24 Reorder the terms: 7 + 12p = 9p + 24 Reorder the terms: 7 + 12p = 24 + 9p Solving 7 + 12p = 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. 7 + 12p + -9p = 24 + 9p + -9p Combine like terms: 12p + -9p = 3p 7 + 3p = 24 + 9p + -9p Combine like terms: 9p + -9p = 0 7 + 3p = 24 + 0 7 + 3p = 24 Add '-7' to each side of the equation. 7 + -7 + 3p = 24 + -7 Combine like terms: 7 + -7 = 0 0 + 3p = 24 + -7 3p = 24 + -7 Combine like terms: 24 + -7 = 17 3p = 17 Divide each side by '3'. p = 5.666666667 Simplifying p = 5.666666667
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