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Simplifying -8(2 + -1p) = 3(2p + -8) (2 * -8 + -1p * -8) = 3(2p + -8) (-16 + 8p) = 3(2p + -8) Reorder the terms: -16 + 8p = 3(-8 + 2p) -16 + 8p = (-8 * 3 + 2p * 3) -16 + 8p = (-24 + 6p) Solving -16 + 8p = -24 + 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. -16 + 8p + -6p = -24 + 6p + -6p Combine like terms: 8p + -6p = 2p -16 + 2p = -24 + 6p + -6p Combine like terms: 6p + -6p = 0 -16 + 2p = -24 + 0 -16 + 2p = -24 Add '16' to each side of the equation. -16 + 16 + 2p = -24 + 16 Combine like terms: -16 + 16 = 0 0 + 2p = -24 + 16 2p = -24 + 16 Combine like terms: -24 + 16 = -8 2p = -8 Divide each side by '2'. p = -4 Simplifying p = -4
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