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Simplifying 2209 = 47(p + 10) Reorder the terms: 2209 = 47(10 + p) 2209 = (10 * 47 + p * 47) 2209 = (470 + 47p) Solving 2209 = 470 + 47p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-47p' to each side of the equation. 2209 + -47p = 470 + 47p + -47p Combine like terms: 47p + -47p = 0 2209 + -47p = 470 + 0 2209 + -47p = 470 Add '-2209' to each side of the equation. 2209 + -2209 + -47p = 470 + -2209 Combine like terms: 2209 + -2209 = 0 0 + -47p = 470 + -2209 -47p = 470 + -2209 Combine like terms: 470 + -2209 = -1739 -47p = -1739 Divide each side by '-47'. p = 37 Simplifying p = 37
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