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Simplifying -3(2 + 4p) = 2(2p + -1) (2 * -3 + 4p * -3) = 2(2p + -1) (-6 + -12p) = 2(2p + -1) Reorder the terms: -6 + -12p = 2(-1 + 2p) -6 + -12p = (-1 * 2 + 2p * 2) -6 + -12p = (-2 + 4p) Solving -6 + -12p = -2 + 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. -6 + -12p + -4p = -2 + 4p + -4p Combine like terms: -12p + -4p = -16p -6 + -16p = -2 + 4p + -4p Combine like terms: 4p + -4p = 0 -6 + -16p = -2 + 0 -6 + -16p = -2 Add '6' to each side of the equation. -6 + 6 + -16p = -2 + 6 Combine like terms: -6 + 6 = 0 0 + -16p = -2 + 6 -16p = -2 + 6 Combine like terms: -2 + 6 = 4 -16p = 4 Divide each side by '-16'. p = -0.25 Simplifying p = -0.25
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