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Simplifying -34 = v + 5v + -42 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 = -8 -6v = -8 Divide each side by '-6'. v = 1.333333333 Simplifying v = 1.333333333
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