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Simplifying -1(6w + -1v) + 4(6v + w) = 0 Reorder the terms: -1(-1v + 6w) + 4(6v + w) = 0 (-1v * -1 + 6w * -1) + 4(6v + w) = 0 (1v + -6w) + 4(6v + w) = 0 1v + -6w + (6v * 4 + w * 4) = 0 1v + -6w + (24v + 4w) = 0 Reorder the terms: 1v + 24v + -6w + 4w = 0 Combine like terms: 1v + 24v = 25v 25v + -6w + 4w = 0 Combine like terms: -6w + 4w = -2w 25v + -2w = 0 Solving 25v + -2w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2w' to each side of the equation. 25v + -2w + 2w = 0 + 2w Combine like terms: -2w + 2w = 0 25v + 0 = 0 + 2w 25v = 0 + 2w Remove the zero: 25v = 2w Divide each side by '25'. v = 0.08w Simplifying v = 0.08w
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