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Simplifying 2 + -5(-5 + 8p) = 27 + -8p 2 + (-5 * -5 + 8p * -5) = 27 + -8p 2 + (25 + -40p) = 27 + -8p Combine like terms: 2 + 25 = 27 27 + -40p = 27 + -8p Add '-27' to each side of the equation. 27 + -27 + -40p = 27 + -27 + -8p Combine like terms: 27 + -27 = 0 0 + -40p = 27 + -27 + -8p -40p = 27 + -27 + -8p Combine like terms: 27 + -27 = 0 -40p = 0 + -8p -40p = -8p Solving -40p = -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. -40p + 8p = -8p + 8p Combine like terms: -40p + 8p = -32p -32p = -8p + 8p Combine like terms: -8p + 8p = 0 -32p = 0 Divide each side by '-32'. p = 0 Simplifying p = 0
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