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Simplifying -1(6w + v) + -4(v + -3w) = 0 Reorder the terms: -1(v + 6w) + -4(v + -3w) = 0 (v * -1 + 6w * -1) + -4(v + -3w) = 0 (-1v + -6w) + -4(v + -3w) = 0 -1v + -6w + (v * -4 + -3w * -4) = 0 -1v + -6w + (-4v + 12w) = 0 Reorder the terms: -1v + -4v + -6w + 12w = 0 Combine like terms: -1v + -4v = -5v -5v + -6w + 12w = 0 Combine like terms: -6w + 12w = 6w -5v + 6w = 0 Solving -5v + 6w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6w' to each side of the equation. -5v + 6w + -6w = 0 + -6w Combine like terms: 6w + -6w = 0 -5v + 0 = 0 + -6w -5v = 0 + -6w Remove the zero: -5v = -6w Divide each side by '-5'. v = 1.2w Simplifying v = 1.2w
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