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Simplifying -8 + 8p = -4(p + 8) Reorder the terms: -8 + 8p = -4(8 + p) -8 + 8p = (8 * -4 + p * -4) -8 + 8p = (-32 + -4p) Solving -8 + 8p = -32 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. -8 + 8p + 4p = -32 + -4p + 4p Combine like terms: 8p + 4p = 12p -8 + 12p = -32 + -4p + 4p Combine like terms: -4p + 4p = 0 -8 + 12p = -32 + 0 -8 + 12p = -32 Add '8' to each side of the equation. -8 + 8 + 12p = -32 + 8 Combine like terms: -8 + 8 = 0 0 + 12p = -32 + 8 12p = -32 + 8 Combine like terms: -32 + 8 = -24 12p = -24 Divide each side by '12'. p = -2 Simplifying p = -2
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