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Simplifying (3 + -3x + 2v)(-8) = 0 Reorder the terms: (3 + 2v + -3x)(-8) = 0 Reorder the terms for easier multiplication: -8(3 + 2v + -3x) = 0 (3 * -8 + 2v * -8 + -3x * -8) = 0 (-24 + -16v + 24x) = 0 Solving -24 + -16v + 24x = 0 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 + -16v + 24 + 24x = 0 + 24 Reorder the terms: -24 + 24 + -16v + 24x = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -16v + 24x = 0 + 24 -16v + 24x = 0 + 24 Combine like terms: 0 + 24 = 24 -16v + 24x = 24 Add '-24x' to each side of the equation. -16v + 24x + -24x = 24 + -24x Combine like terms: 24x + -24x = 0 -16v + 0 = 24 + -24x -16v = 24 + -24x Divide each side by '-16'. v = -1.5 + 1.5x Simplifying v = -1.5 + 1.5x
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