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Simplifying -4(-3w + v) + 4(-6v + 6w) = 0 Reorder the terms: -4(v + -3w) + 4(-6v + 6w) = 0 (v * -4 + -3w * -4) + 4(-6v + 6w) = 0 (-4v + 12w) + 4(-6v + 6w) = 0 -4v + 12w + (-6v * 4 + 6w * 4) = 0 -4v + 12w + (-24v + 24w) = 0 Reorder the terms: -4v + -24v + 12w + 24w = 0 Combine like terms: -4v + -24v = -28v -28v + 12w + 24w = 0 Combine like terms: 12w + 24w = 36w -28v + 36w = 0 Solving -28v + 36w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-36w' to each side of the equation. -28v + 36w + -36w = 0 + -36w Combine like terms: 36w + -36w = 0 -28v + 0 = 0 + -36w -28v = 0 + -36w Remove the zero: -28v = -36w Divide each side by '-28'. v = 1.285714286w Simplifying v = 1.285714286w
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