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Simplifying 1440 = 32(p + 10) Reorder the terms: 1440 = 32(10 + p) 1440 = (10 * 32 + p * 32) 1440 = (320 + 32p) Solving 1440 = 320 + 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. 1440 + -32p = 320 + 32p + -32p Combine like terms: 32p + -32p = 0 1440 + -32p = 320 + 0 1440 + -32p = 320 Add '-1440' to each side of the equation. 1440 + -1440 + -32p = 320 + -1440 Combine like terms: 1440 + -1440 = 0 0 + -32p = 320 + -1440 -32p = 320 + -1440 Combine like terms: 320 + -1440 = -1120 -32p = -1120 Divide each side by '-32'. p = 35 Simplifying p = 35
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