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Simplifying 8v + -2(w + v) + w = 0 Reorder the terms: 8v + -2(v + w) + w = 0 8v + (v * -2 + w * -2) + w = 0 8v + (-2v + -2w) + w = 0 Combine like terms: 8v + -2v = 6v 6v + -2w + w = 0 Combine like terms: -2w + w = -1w 6v + -1w = 0 Solving 6v + -1w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'w' to each side of the equation. 6v + -1w + w = 0 + w Combine like terms: -1w + w = 0 6v + 0 = 0 + w 6v = 0 + w Remove the zero: 6v = w Divide each side by '6'. v = 0.1666666667w Simplifying v = 0.1666666667w
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