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Simplifying -4(-4 + 6p) = -8p + 32 (-4 * -4 + 6p * -4) = -8p + 32 (16 + -24p) = -8p + 32 Reorder the terms: 16 + -24p = 32 + -8p Solving 16 + -24p = 32 + -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. 16 + -24p + 8p = 32 + -8p + 8p Combine like terms: -24p + 8p = -16p 16 + -16p = 32 + -8p + 8p Combine like terms: -8p + 8p = 0 16 + -16p = 32 + 0 16 + -16p = 32 Add '-16' to each side of the equation. 16 + -16 + -16p = 32 + -16 Combine like terms: 16 + -16 = 0 0 + -16p = 32 + -16 -16p = 32 + -16 Combine like terms: 32 + -16 = 16 -16p = 16 Divide each side by '-16'. p = -1 Simplifying p = -1
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