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Simplifying -34 = v + 42 + 5v Reorder the terms: -34 = 42 + v + 5v Combine like terms: v + 5v = 6v -34 = 42 + 6v Solving -34 = 42 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -34 + -6v = 42 + 6v + -6v Combine like terms: 6v + -6v = 0 -34 + -6v = 42 + 0 -34 + -6v = 42 Add '34' to each side of the equation. -34 + 34 + -6v = 42 + 34 Combine like terms: -34 + 34 = 0 0 + -6v = 42 + 34 -6v = 42 + 34 Combine like terms: 42 + 34 = 76 -6v = 76 Divide each side by '-6'. v = -12.66666667 Simplifying v = -12.66666667
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