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Simplifying 4635 = 45(p + 20) Reorder the terms: 4635 = 45(20 + p) 4635 = (20 * 45 + p * 45) 4635 = (900 + 45p) Solving 4635 = 900 + 45p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-45p' to each side of the equation. 4635 + -45p = 900 + 45p + -45p Combine like terms: 45p + -45p = 0 4635 + -45p = 900 + 0 4635 + -45p = 900 Add '-4635' to each side of the equation. 4635 + -4635 + -45p = 900 + -4635 Combine like terms: 4635 + -4635 = 0 0 + -45p = 900 + -4635 -45p = 900 + -4635 Combine like terms: 900 + -4635 = -3735 -45p = -3735 Divide each side by '-45'. p = 83 Simplifying p = 83
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