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Simplifying 7(p + 2) = 64(p + 9) Reorder the terms: 7(2 + p) = 64(p + 9) (2 * 7 + p * 7) = 64(p + 9) (14 + 7p) = 64(p + 9) Reorder the terms: 14 + 7p = 64(9 + p) 14 + 7p = (9 * 64 + p * 64) 14 + 7p = (576 + 64p) Solving 14 + 7p = 576 + 64p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-64p' to each side of the equation. 14 + 7p + -64p = 576 + 64p + -64p Combine like terms: 7p + -64p = -57p 14 + -57p = 576 + 64p + -64p Combine like terms: 64p + -64p = 0 14 + -57p = 576 + 0 14 + -57p = 576 Add '-14' to each side of the equation. 14 + -14 + -57p = 576 + -14 Combine like terms: 14 + -14 = 0 0 + -57p = 576 + -14 -57p = 576 + -14 Combine like terms: 576 + -14 = 562 -57p = 562 Divide each side by '-57'. p = -9.859649123 Simplifying p = -9.859649123
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