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Simplifying -6(p + -4) + 8p = -4(8 + -4p) Reorder the terms: -6(-4 + p) + 8p = -4(8 + -4p) (-4 * -6 + p * -6) + 8p = -4(8 + -4p) (24 + -6p) + 8p = -4(8 + -4p) Combine like terms: -6p + 8p = 2p 24 + 2p = -4(8 + -4p) 24 + 2p = (8 * -4 + -4p * -4) 24 + 2p = (-32 + 16p) Solving 24 + 2p = -32 + 16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16p' to each side of the equation. 24 + 2p + -16p = -32 + 16p + -16p Combine like terms: 2p + -16p = -14p 24 + -14p = -32 + 16p + -16p Combine like terms: 16p + -16p = 0 24 + -14p = -32 + 0 24 + -14p = -32 Add '-24' to each side of the equation. 24 + -24 + -14p = -32 + -24 Combine like terms: 24 + -24 = 0 0 + -14p = -32 + -24 -14p = -32 + -24 Combine like terms: -32 + -24 = -56 -14p = -56 Divide each side by '-14'. p = 4 Simplifying p = 4
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