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Simplifying -3(4w + -1v) + -4(-3v + 5w) = 0 Reorder the terms: -3(-1v + 4w) + -4(-3v + 5w) = 0 (-1v * -3 + 4w * -3) + -4(-3v + 5w) = 0 (3v + -12w) + -4(-3v + 5w) = 0 3v + -12w + (-3v * -4 + 5w * -4) = 0 3v + -12w + (12v + -20w) = 0 Reorder the terms: 3v + 12v + -12w + -20w = 0 Combine like terms: 3v + 12v = 15v 15v + -12w + -20w = 0 Combine like terms: -12w + -20w = -32w 15v + -32w = 0 Solving 15v + -32w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '32w' to each side of the equation. 15v + -32w + 32w = 0 + 32w Combine like terms: -32w + 32w = 0 15v + 0 = 0 + 32w 15v = 0 + 32w Remove the zero: 15v = 32w Divide each side by '15'. v = 2.133333333w Simplifying v = 2.133333333w
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