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Simplifying -8v + 24 = -8(2 + -1p) + 4p Reorder the terms: 24 + -8v = -8(2 + -1p) + 4p 24 + -8v = (2 * -8 + -1p * -8) + 4p 24 + -8v = (-16 + 8p) + 4p Combine like terms: 8p + 4p = 12p 24 + -8v = -16 + 12p Solving 24 + -8v = -16 + 12p Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -8v = -16 + -24 + 12p Combine like terms: 24 + -24 = 0 0 + -8v = -16 + -24 + 12p -8v = -16 + -24 + 12p Combine like terms: -16 + -24 = -40 -8v = -40 + 12p Divide each side by '-8'. v = 5 + -1.5p Simplifying v = 5 + -1.5p
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