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Simplifying -4(-5 + 6v) + 2(3 + -3v) = -34 (-5 * -4 + 6v * -4) + 2(3 + -3v) = -34 (20 + -24v) + 2(3 + -3v) = -34 20 + -24v + (3 * 2 + -3v * 2) = -34 20 + -24v + (6 + -6v) = -34 Reorder the terms: 20 + 6 + -24v + -6v = -34 Combine like terms: 20 + 6 = 26 26 + -24v + -6v = -34 Combine like terms: -24v + -6v = -30v 26 + -30v = -34 Solving 26 + -30v = -34 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -30v = -34 + -26 Combine like terms: 26 + -26 = 0 0 + -30v = -34 + -26 -30v = -34 + -26 Combine like terms: -34 + -26 = -60 -30v = -60 Divide each side by '-30'. v = 2 Simplifying v = 2
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