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Simplifying 3822 = 49(p + 10) Reorder the terms: 3822 = 49(10 + p) 3822 = (10 * 49 + p * 49) 3822 = (490 + 49p) Solving 3822 = 490 + 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. 3822 + -49p = 490 + 49p + -49p Combine like terms: 49p + -49p = 0 3822 + -49p = 490 + 0 3822 + -49p = 490 Add '-3822' to each side of the equation. 3822 + -3822 + -49p = 490 + -3822 Combine like terms: 3822 + -3822 = 0 0 + -49p = 490 + -3822 -49p = 490 + -3822 Combine like terms: 490 + -3822 = -3332 -49p = -3332 Divide each side by '-49'. p = 68 Simplifying p = 68
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