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Simplifying (2 + 8p)(-4) = 0 Reorder the terms for easier multiplication: -4(2 + 8p) = 0 (2 * -4 + 8p * -4) = 0 (-8 + -32p) = 0 Solving -8 + -32p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -32p = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -32p = 0 + 8 -32p = 0 + 8 Combine like terms: 0 + 8 = 8 -32p = 8 Divide each side by '-32'. p = -0.25 Simplifying p = -0.25
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