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Simplifying -8p + -32 = -4(6p + -4) Reorder the terms: -32 + -8p = -4(6p + -4) Reorder the terms: -32 + -8p = -4(-4 + 6p) -32 + -8p = (-4 * -4 + 6p * -4) -32 + -8p = (16 + -24p) Solving -32 + -8p = 16 + -24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '24p' to each side of the equation. -32 + -8p + 24p = 16 + -24p + 24p Combine like terms: -8p + 24p = 16p -32 + 16p = 16 + -24p + 24p Combine like terms: -24p + 24p = 0 -32 + 16p = 16 + 0 -32 + 16p = 16 Add '32' to each side of the equation. -32 + 32 + 16p = 16 + 32 Combine like terms: -32 + 32 = 0 0 + 16p = 16 + 32 16p = 16 + 32 Combine like terms: 16 + 32 = 48 16p = 48 Divide each side by '16'. p = 3 Simplifying p = 3
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