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Simplifying 3538 = 42(p + 20) Reorder the terms: 3538 = 42(20 + p) 3538 = (20 * 42 + p * 42) 3538 = (840 + 42p) Solving 3538 = 840 + 42p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-42p' to each side of the equation. 3538 + -42p = 840 + 42p + -42p Combine like terms: 42p + -42p = 0 3538 + -42p = 840 + 0 3538 + -42p = 840 Add '-3538' to each side of the equation. 3538 + -3538 + -42p = 840 + -3538 Combine like terms: 3538 + -3538 = 0 0 + -42p = 840 + -3538 -42p = 840 + -3538 Combine like terms: 840 + -3538 = -2698 -42p = -2698 Divide each side by '-42'. p = 64.23809524 Simplifying p = 64.23809524
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