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Simplifying 3584 = 32(p + 25) Reorder the terms: 3584 = 32(25 + p) 3584 = (25 * 32 + p * 32) 3584 = (800 + 32p) Solving 3584 = 800 + 32p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-32p' to each side of the equation. 3584 + -32p = 800 + 32p + -32p Combine like terms: 32p + -32p = 0 3584 + -32p = 800 + 0 3584 + -32p = 800 Add '-3584' to each side of the equation. 3584 + -3584 + -32p = 800 + -3584 Combine like terms: 3584 + -3584 = 0 0 + -32p = 800 + -3584 -32p = 800 + -3584 Combine like terms: 800 + -3584 = -2784 -32p = -2784 Divide each side by '-32'. p = 87 Simplifying p = 87
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