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Simplifying -2(12 + -2p) = -8(p + 6) + 4p (12 * -2 + -2p * -2) = -8(p + 6) + 4p (-24 + 4p) = -8(p + 6) + 4p Reorder the terms: -24 + 4p = -8(6 + p) + 4p -24 + 4p = (6 * -8 + p * -8) + 4p -24 + 4p = (-48 + -8p) + 4p Combine like terms: -8p + 4p = -4p -24 + 4p = -48 + -4p Solving -24 + 4p = -48 + -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. -24 + 4p + 4p = -48 + -4p + 4p Combine like terms: 4p + 4p = 8p -24 + 8p = -48 + -4p + 4p Combine like terms: -4p + 4p = 0 -24 + 8p = -48 + 0 -24 + 8p = -48 Add '24' to each side of the equation. -24 + 24 + 8p = -48 + 24 Combine like terms: -24 + 24 = 0 0 + 8p = -48 + 24 8p = -48 + 24 Combine like terms: -48 + 24 = -24 8p = -24 Divide each side by '8'. p = -3 Simplifying p = -3
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