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Simplifying 3104 = 32(p + 30) Reorder the terms: 3104 = 32(30 + p) 3104 = (30 * 32 + p * 32) 3104 = (960 + 32p) Solving 3104 = 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. 3104 + -32p = 960 + 32p + -32p Combine like terms: 32p + -32p = 0 3104 + -32p = 960 + 0 3104 + -32p = 960 Add '-3104' to each side of the equation. 3104 + -3104 + -32p = 960 + -3104 Combine like terms: 3104 + -3104 = 0 0 + -32p = 960 + -3104 -32p = 960 + -3104 Combine like terms: 960 + -3104 = -2144 -32p = -2144 Divide each side by '-32'. p = 67 Simplifying p = 67
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