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Simplifying 5047 = 49(p + 40) Reorder the terms: 5047 = 49(40 + p) 5047 = (40 * 49 + p * 49) 5047 = (1960 + 49p) Solving 5047 = 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. 5047 + -49p = 1960 + 49p + -49p Combine like terms: 49p + -49p = 0 5047 + -49p = 1960 + 0 5047 + -49p = 1960 Add '-5047' to each side of the equation. 5047 + -5047 + -49p = 1960 + -5047 Combine like terms: 5047 + -5047 = 0 0 + -49p = 1960 + -5047 -49p = 1960 + -5047 Combine like terms: 1960 + -5047 = -3087 -49p = -3087 Divide each side by '-49'. p = 63 Simplifying p = 63
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