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Simplifying 4(2v + -6) = -34 + -2v Reorder the terms: 4(-6 + 2v) = -34 + -2v (-6 * 4 + 2v * 4) = -34 + -2v (-24 + 8v) = -34 + -2v Solving -24 + 8v = -34 + -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. -24 + 8v + 2v = -34 + -2v + 2v Combine like terms: 8v + 2v = 10v -24 + 10v = -34 + -2v + 2v Combine like terms: -2v + 2v = 0 -24 + 10v = -34 + 0 -24 + 10v = -34 Add '24' to each side of the equation. -24 + 24 + 10v = -34 + 24 Combine like terms: -24 + 24 = 0 0 + 10v = -34 + 24 10v = -34 + 24 Combine like terms: -34 + 24 = -10 10v = -10 Divide each side by '10'. v = -1 Simplifying v = -1
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