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Simplifying -4(6p + 2) = -40 + -8p Reorder the terms: -4(2 + 6p) = -40 + -8p (2 * -4 + 6p * -4) = -40 + -8p (-8 + -24p) = -40 + -8p Solving -8 + -24p = -40 + -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. -8 + -24p + 8p = -40 + -8p + 8p Combine like terms: -24p + 8p = -16p -8 + -16p = -40 + -8p + 8p Combine like terms: -8p + 8p = 0 -8 + -16p = -40 + 0 -8 + -16p = -40 Add '8' to each side of the equation. -8 + 8 + -16p = -40 + 8 Combine like terms: -8 + 8 = 0 0 + -16p = -40 + 8 -16p = -40 + 8 Combine like terms: -40 + 8 = -32 -16p = -32 Divide each side by '-16'. p = 2 Simplifying p = 2
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