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Simplifying 4018 = 49(p + 40) Reorder the terms: 4018 = 49(40 + p) 4018 = (40 * 49 + p * 49) 4018 = (1960 + 49p) Solving 4018 = 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. 4018 + -49p = 1960 + 49p + -49p Combine like terms: 49p + -49p = 0 4018 + -49p = 1960 + 0 4018 + -49p = 1960 Add '-4018' to each side of the equation. 4018 + -4018 + -49p = 1960 + -4018 Combine like terms: 4018 + -4018 = 0 0 + -49p = 1960 + -4018 -49p = 1960 + -4018 Combine like terms: 1960 + -4018 = -2058 -49p = -2058 Divide each side by '-49'. p = 42 Simplifying p = 42
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