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Simplifying -34 = v + 42 + -5w Reorder the terms: -34 = 42 + v + -5w Solving -34 = 42 + v + -5w Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. -34 + -1v = 42 + v + -1v + -5w Combine like terms: v + -1v = 0 -34 + -1v = 42 + 0 + -5w -34 + -1v = 42 + -5w Add '34' to each side of the equation. -34 + 34 + -1v = 42 + 34 + -5w Combine like terms: -34 + 34 = 0 0 + -1v = 42 + 34 + -5w -1v = 42 + 34 + -5w Combine like terms: 42 + 34 = 76 -1v = 76 + -5w Divide each side by '-1'. v = -76 + 5w Simplifying v = -76 + 5w
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