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Simplifying -34 + 3v = -5(-8v + -6) + -5v Reorder the terms: -34 + 3v = -5(-6 + -8v) + -5v -34 + 3v = (-6 * -5 + -8v * -5) + -5v -34 + 3v = (30 + 40v) + -5v Combine like terms: 40v + -5v = 35v -34 + 3v = 30 + 35v Solving -34 + 3v = 30 + 35v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-35v' to each side of the equation. -34 + 3v + -35v = 30 + 35v + -35v Combine like terms: 3v + -35v = -32v -34 + -32v = 30 + 35v + -35v Combine like terms: 35v + -35v = 0 -34 + -32v = 30 + 0 -34 + -32v = 30 Add '34' to each side of the equation. -34 + 34 + -32v = 30 + 34 Combine like terms: -34 + 34 = 0 0 + -32v = 30 + 34 -32v = 30 + 34 Combine like terms: 30 + 34 = 64 -32v = 64 Divide each side by '-32'. v = -2 Simplifying v = -2
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