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Simplifying -4(-6w + v) + -6(-6v + w) = 0 Reorder the terms: -4(v + -6w) + -6(-6v + w) = 0 (v * -4 + -6w * -4) + -6(-6v + w) = 0 (-4v + 24w) + -6(-6v + w) = 0 -4v + 24w + (-6v * -6 + w * -6) = 0 -4v + 24w + (36v + -6w) = 0 Reorder the terms: -4v + 36v + 24w + -6w = 0 Combine like terms: -4v + 36v = 32v 32v + 24w + -6w = 0 Combine like terms: 24w + -6w = 18w 32v + 18w = 0 Solving 32v + 18w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-18w' to each side of the equation. 32v + 18w + -18w = 0 + -18w Combine like terms: 18w + -18w = 0 32v + 0 = 0 + -18w 32v = 0 + -18w Remove the zero: 32v = -18w Divide each side by '32'. v = -0.5625w Simplifying v = -0.5625w
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