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Simplifying 1769 = 29[p + 20] Reorder the terms: 1769 = 29[20 + p] 1769 = [20 * 29 + p * 29] 1769 = [580 + 29p] Solving 1769 = 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. 1769 + -29p = 580 + 29p + -29p Combine like terms: 29p + -29p = 0 1769 + -29p = 580 + 0 1769 + -29p = 580 Add '-1769' to each side of the equation. 1769 + -1769 + -29p = 580 + -1769 Combine like terms: 1769 + -1769 = 0 0 + -29p = 580 + -1769 -29p = 580 + -1769 Combine like terms: 580 + -1769 = -1189 -29p = -1189 Divide each side by '-29'. p = 41 Simplifying p = 41
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