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Simplifying 3808 = 32(p + 35) Reorder the terms: 3808 = 32(35 + p) 3808 = (35 * 32 + p * 32) 3808 = (1120 + 32p) Solving 3808 = 1120 + 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. 3808 + -32p = 1120 + 32p + -32p Combine like terms: 32p + -32p = 0 3808 + -32p = 1120 + 0 3808 + -32p = 1120 Add '-3808' to each side of the equation. 3808 + -3808 + -32p = 1120 + -3808 Combine like terms: 3808 + -3808 = 0 0 + -32p = 1120 + -3808 -32p = 1120 + -3808 Combine like terms: 1120 + -3808 = -2688 -32p = -2688 Divide each side by '-32'. p = 84 Simplifying p = 84
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