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Simplifying 6(v + -4) + -8v = -34 Reorder the terms: 6(-4 + v) + -8v = -34 (-4 * 6 + v * 6) + -8v = -34 (-24 + 6v) + -8v = -34 Combine like terms: 6v + -8v = -2v -24 + -2v = -34 Solving -24 + -2v = -34 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 + -2v = -34 + 24 Combine like terms: -24 + 24 = 0 0 + -2v = -34 + 24 -2v = -34 + 24 Combine like terms: -34 + 24 = -10 -2v = -10 Divide each side by '-2'. v = 5 Simplifying v = 5
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