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Simplifying 2(4 + -2p) = 2p + -8 (4 * 2 + -2p * 2) = 2p + -8 (8 + -4p) = 2p + -8 Reorder the terms: 8 + -4p = -8 + 2p Solving 8 + -4p = -8 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. 8 + -4p + -2p = -8 + 2p + -2p Combine like terms: -4p + -2p = -6p 8 + -6p = -8 + 2p + -2p Combine like terms: 2p + -2p = 0 8 + -6p = -8 + 0 8 + -6p = -8 Add '-8' to each side of the equation. 8 + -8 + -6p = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -6p = -8 + -8 -6p = -8 + -8 Combine like terms: -8 + -8 = -16 -6p = -16 Divide each side by '-6'. p = 2.666666667 Simplifying p = 2.666666667
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