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Simplifying 8p = 5(8p + 7) Reorder the terms: 8p = 5(7 + 8p) 8p = (7 * 5 + 8p * 5) 8p = (35 + 40p) Solving 8p = 35 + 40p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-40p' to each side of the equation. 8p + -40p = 35 + 40p + -40p Combine like terms: 8p + -40p = -32p -32p = 35 + 40p + -40p Combine like terms: 40p + -40p = 0 -32p = 35 + 0 -32p = 35 Divide each side by '-32'. p = -1.09375 Simplifying p = -1.09375
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