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Simplifying 4 + 4(p + 5) = 32 Reorder the terms: 4 + 4(5 + p) = 32 4 + (5 * 4 + p * 4) = 32 4 + (20 + 4p) = 32 Combine like terms: 4 + 20 = 24 24 + 4p = 32 Solving 24 + 4p = 32 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 4p = 32 + -24 Combine like terms: 24 + -24 = 0 0 + 4p = 32 + -24 4p = 32 + -24 Combine like terms: 32 + -24 = 8 4p = 8 Divide each side by '4'. p = 2 Simplifying p = 2
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