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Simplifying -6(v + 2) = 2v + -32 Reorder the terms: -6(2 + v) = 2v + -32 (2 * -6 + v * -6) = 2v + -32 (-12 + -6v) = 2v + -32 Reorder the terms: -12 + -6v = -32 + 2v Solving -12 + -6v = -32 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -12 + -6v + -2v = -32 + 2v + -2v Combine like terms: -6v + -2v = -8v -12 + -8v = -32 + 2v + -2v Combine like terms: 2v + -2v = 0 -12 + -8v = -32 + 0 -12 + -8v = -32 Add '12' to each side of the equation. -12 + 12 + -8v = -32 + 12 Combine like terms: -12 + 12 = 0 0 + -8v = -32 + 12 -8v = -32 + 12 Combine like terms: -32 + 12 = -20 -8v = -20 Divide each side by '-8'. v = 2.5 Simplifying v = 2.5
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