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Simplifying 0.20(z + -1v) = w Reorder the terms: 0.20(-1v + z) = w (-1v * 0.20 + z * 0.20) = w (-0.2v + 0.20z) = w Solving -0.2v + 0.20z = w Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-0.20z' to each side of the equation. -0.2v + 0.20z + -0.20z = w + -0.20z Combine like terms: 0.20z + -0.20z = 0.00 -0.2v + 0.00 = w + -0.20z -0.2v = w + -0.20z Divide each side by '-0.2'. v = -5w + z Simplifying v = -5w + z
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