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Simplifying -2(3v + 8) = -32 Reorder the terms: -2(8 + 3v) = -32 (8 * -2 + 3v * -2) = -32 (-16 + -6v) = -32 Solving -16 + -6v = -32 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -6v = -32 + 16 Combine like terms: -16 + 16 = 0 0 + -6v = -32 + 16 -6v = -32 + 16 Combine like terms: -32 + 16 = -16 -6v = -16 Divide each side by '-6'. v = 2.666666667 Simplifying v = 2.666666667
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