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Simplifying 6p + 9 = 3p + 32 Reorder the terms: 9 + 6p = 3p + 32 Reorder the terms: 9 + 6p = 32 + 3p Solving 9 + 6p = 32 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 9 + 6p + -3p = 32 + 3p + -3p Combine like terms: 6p + -3p = 3p 9 + 3p = 32 + 3p + -3p Combine like terms: 3p + -3p = 0 9 + 3p = 32 + 0 9 + 3p = 32 Add '-9' to each side of the equation. 9 + -9 + 3p = 32 + -9 Combine like terms: 9 + -9 = 0 0 + 3p = 32 + -9 3p = 32 + -9 Combine like terms: 32 + -9 = 23 3p = 23 Divide each side by '3'. p = 7.666666667 Simplifying p = 7.666666667
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