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Simplifying 1566 = 29(p + 20) Reorder the terms: 1566 = 29(20 + p) 1566 = (20 * 29 + p * 29) 1566 = (580 + 29p) Solving 1566 = 580 + 29p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-29p' to each side of the equation. 1566 + -29p = 580 + 29p + -29p Combine like terms: 29p + -29p = 0 1566 + -29p = 580 + 0 1566 + -29p = 580 Add '-1566' to each side of the equation. 1566 + -1566 + -29p = 580 + -1566 Combine like terms: 1566 + -1566 = 0 0 + -29p = 580 + -1566 -29p = 580 + -1566 Combine like terms: 580 + -1566 = -986 -29p = -986 Divide each side by '-29'. p = 34 Simplifying p = 34
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