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Simplifying 3936 = 32(p + 40) Reorder the terms: 3936 = 32(40 + p) 3936 = (40 * 32 + p * 32) 3936 = (1280 + 32p) Solving 3936 = 1280 + 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. 3936 + -32p = 1280 + 32p + -32p Combine like terms: 32p + -32p = 0 3936 + -32p = 1280 + 0 3936 + -32p = 1280 Add '-3936' to each side of the equation. 3936 + -3936 + -32p = 1280 + -3936 Combine like terms: 3936 + -3936 = 0 0 + -32p = 1280 + -3936 -32p = 1280 + -3936 Combine like terms: 1280 + -3936 = -2656 -32p = -2656 Divide each side by '-32'. p = 83 Simplifying p = 83
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