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Simplifying -2 + -4p = -3(2p + 4) + 8 Reorder the terms: -2 + -4p = -3(4 + 2p) + 8 -2 + -4p = (4 * -3 + 2p * -3) + 8 -2 + -4p = (-12 + -6p) + 8 Reorder the terms: -2 + -4p = -12 + 8 + -6p Combine like terms: -12 + 8 = -4 -2 + -4p = -4 + -6p Solving -2 + -4p = -4 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. -2 + -4p + 6p = -4 + -6p + 6p Combine like terms: -4p + 6p = 2p -2 + 2p = -4 + -6p + 6p Combine like terms: -6p + 6p = 0 -2 + 2p = -4 + 0 -2 + 2p = -4 Add '2' to each side of the equation. -2 + 2 + 2p = -4 + 2 Combine like terms: -2 + 2 = 0 0 + 2p = -4 + 2 2p = -4 + 2 Combine like terms: -4 + 2 = -2 2p = -2 Divide each side by '2'. p = -1 Simplifying p = -1
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