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Simplifying 2622 = 46(p + 10) Reorder the terms: 2622 = 46(10 + p) 2622 = (10 * 46 + p * 46) 2622 = (460 + 46p) Solving 2622 = 460 + 46p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-46p' to each side of the equation. 2622 + -46p = 460 + 46p + -46p Combine like terms: 46p + -46p = 0 2622 + -46p = 460 + 0 2622 + -46p = 460 Add '-2622' to each side of the equation. 2622 + -2622 + -46p = 460 + -2622 Combine like terms: 2622 + -2622 = 0 0 + -46p = 460 + -2622 -46p = 460 + -2622 Combine like terms: 460 + -2622 = -2162 -46p = -2162 Divide each side by '-46'. p = 47 Simplifying p = 47
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