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Simplifying 5243 = 49(p + 40) Reorder the terms: 5243 = 49(40 + p) 5243 = (40 * 49 + p * 49) 5243 = (1960 + 49p) Solving 5243 = 1960 + 49p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-49p' to each side of the equation. 5243 + -49p = 1960 + 49p + -49p Combine like terms: 49p + -49p = 0 5243 + -49p = 1960 + 0 5243 + -49p = 1960 Add '-5243' to each side of the equation. 5243 + -5243 + -49p = 1960 + -5243 Combine like terms: 5243 + -5243 = 0 0 + -49p = 1960 + -5243 -49p = 1960 + -5243 Combine like terms: 1960 + -5243 = -3283 -49p = -3283 Divide each side by '-49'. p = 67 Simplifying p = 67
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