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Simplifying -6(4v + -5) = -8v + -34 Reorder the terms: -6(-5 + 4v) = -8v + -34 (-5 * -6 + 4v * -6) = -8v + -34 (30 + -24v) = -8v + -34 Reorder the terms: 30 + -24v = -34 + -8v Solving 30 + -24v = -34 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 30 + -24v + 8v = -34 + -8v + 8v Combine like terms: -24v + 8v = -16v 30 + -16v = -34 + -8v + 8v Combine like terms: -8v + 8v = 0 30 + -16v = -34 + 0 30 + -16v = -34 Add '-30' to each side of the equation. 30 + -30 + -16v = -34 + -30 Combine like terms: 30 + -30 = 0 0 + -16v = -34 + -30 -16v = -34 + -30 Combine like terms: -34 + -30 = -64 -16v = -64 Divide each side by '-16'. v = 4 Simplifying v = 4
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