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Simplifying 16p + -45 = 24p + 5(8p + -9) Reorder the terms: -45 + 16p = 24p + 5(8p + -9) Reorder the terms: -45 + 16p = 24p + 5(-9 + 8p) -45 + 16p = 24p + (-9 * 5 + 8p * 5) -45 + 16p = 24p + (-45 + 40p) Reorder the terms: -45 + 16p = -45 + 24p + 40p Combine like terms: 24p + 40p = 64p -45 + 16p = -45 + 64p Add '45' to each side of the equation. -45 + 45 + 16p = -45 + 45 + 64p Combine like terms: -45 + 45 = 0 0 + 16p = -45 + 45 + 64p 16p = -45 + 45 + 64p Combine like terms: -45 + 45 = 0 16p = 0 + 64p 16p = 64p Solving 16p = 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. 16p + -64p = 64p + -64p Combine like terms: 16p + -64p = -48p -48p = 64p + -64p Combine like terms: 64p + -64p = 0 -48p = 0 Divide each side by '-48'. p = 0 Simplifying p = 0
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