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Simplifying -8(4 + 5p) = -8p (4 * -8 + 5p * -8) = -8p (-32 + -40p) = -8p Solving -32 + -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. -32 + -40p + 8p = -8p + 8p Combine like terms: -40p + 8p = -32p -32 + -32p = -8p + 8p Combine like terms: -8p + 8p = 0 -32 + -32p = 0 Add '32' to each side of the equation. -32 + 32 + -32p = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -32p = 0 + 32 -32p = 0 + 32 Combine like terms: 0 + 32 = 32 -32p = 32 Divide each side by '-32'. p = -1 Simplifying p = -1
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