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Simplifying 2272 = 32(p + 30) Reorder the terms: 2272 = 32(30 + p) 2272 = (30 * 32 + p * 32) 2272 = (960 + 32p) Solving 2272 = 960 + 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. 2272 + -32p = 960 + 32p + -32p Combine like terms: 32p + -32p = 0 2272 + -32p = 960 + 0 2272 + -32p = 960 Add '-2272' to each side of the equation. 2272 + -2272 + -32p = 960 + -2272 Combine like terms: 2272 + -2272 = 0 0 + -32p = 960 + -2272 -32p = 960 + -2272 Combine like terms: 960 + -2272 = -1312 -32p = -1312 Divide each side by '-32'. p = 41 Simplifying p = 41
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