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Simplifying 1472 = 32(p + 15) Reorder the terms: 1472 = 32(15 + p) 1472 = (15 * 32 + p * 32) 1472 = (480 + 32p) Solving 1472 = 480 + 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. 1472 + -32p = 480 + 32p + -32p Combine like terms: 32p + -32p = 0 1472 + -32p = 480 + 0 1472 + -32p = 480 Add '-1472' to each side of the equation. 1472 + -1472 + -32p = 480 + -1472 Combine like terms: 1472 + -1472 = 0 0 + -32p = 480 + -1472 -32p = 480 + -1472 Combine like terms: 480 + -1472 = -992 -32p = -992 Divide each side by '-32'. p = 31 Simplifying p = 31
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