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Simplifying 5016 = 44(p + 40) Reorder the terms: 5016 = 44(40 + p) 5016 = (40 * 44 + p * 44) 5016 = (1760 + 44p) Solving 5016 = 1760 + 44p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-44p' to each side of the equation. 5016 + -44p = 1760 + 44p + -44p Combine like terms: 44p + -44p = 0 5016 + -44p = 1760 + 0 5016 + -44p = 1760 Add '-5016' to each side of the equation. 5016 + -5016 + -44p = 1760 + -5016 Combine like terms: 5016 + -5016 = 0 0 + -44p = 1760 + -5016 -44p = 1760 + -5016 Combine like terms: 1760 + -5016 = -3256 -44p = -3256 Divide each side by '-44'. p = 74 Simplifying p = 74
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