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Simplifying -2(p + 4) + 4 = -6(8 + 4p) Reorder the terms: -2(4 + p) + 4 = -6(8 + 4p) (4 * -2 + p * -2) + 4 = -6(8 + 4p) (-8 + -2p) + 4 = -6(8 + 4p) Reorder the terms: -8 + 4 + -2p = -6(8 + 4p) Combine like terms: -8 + 4 = -4 -4 + -2p = -6(8 + 4p) -4 + -2p = (8 * -6 + 4p * -6) -4 + -2p = (-48 + -24p) Solving -4 + -2p = -48 + -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. -4 + -2p + 24p = -48 + -24p + 24p Combine like terms: -2p + 24p = 22p -4 + 22p = -48 + -24p + 24p Combine like terms: -24p + 24p = 0 -4 + 22p = -48 + 0 -4 + 22p = -48 Add '4' to each side of the equation. -4 + 4 + 22p = -48 + 4 Combine like terms: -4 + 4 = 0 0 + 22p = -48 + 4 22p = -48 + 4 Combine like terms: -48 + 4 = -44 22p = -44 Divide each side by '22'. p = -2 Simplifying p = -2
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