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Simplifying -1(5w + v) + 5(-2v + -6w) = 0 Reorder the terms: -1(v + 5w) + 5(-2v + -6w) = 0 (v * -1 + 5w * -1) + 5(-2v + -6w) = 0 (-1v + -5w) + 5(-2v + -6w) = 0 -1v + -5w + (-2v * 5 + -6w * 5) = 0 -1v + -5w + (-10v + -30w) = 0 Reorder the terms: -1v + -10v + -5w + -30w = 0 Combine like terms: -1v + -10v = -11v -11v + -5w + -30w = 0 Combine like terms: -5w + -30w = -35w -11v + -35w = 0 Solving -11v + -35w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '35w' to each side of the equation. -11v + -35w + 35w = 0 + 35w Combine like terms: -35w + 35w = 0 -11v + 0 = 0 + 35w -11v = 0 + 35w Remove the zero: -11v = 35w Divide each side by '-11'. v = -3.181818182w Simplifying v = -3.181818182w
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