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