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Simplifying 3(3p + 4) = 32 + 4p Reorder the terms: 3(4 + 3p) = 32 + 4p (4 * 3 + 3p * 3) = 32 + 4p (12 + 9p) = 32 + 4p Solving 12 + 9p = 32 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 12 + 9p + -4p = 32 + 4p + -4p Combine like terms: 9p + -4p = 5p 12 + 5p = 32 + 4p + -4p Combine like terms: 4p + -4p = 0 12 + 5p = 32 + 0 12 + 5p = 32 Add '-12' to each side of the equation. 12 + -12 + 5p = 32 + -12 Combine like terms: 12 + -12 = 0 0 + 5p = 32 + -12 5p = 32 + -12 Combine like terms: 32 + -12 = 20 5p = 20 Divide each side by '5'. p = 4 Simplifying p = 4
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