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Simplifying -3(5w + v) + -2(-3v + 3w) = 0 Reorder the terms: -3(v + 5w) + -2(-3v + 3w) = 0 (v * -3 + 5w * -3) + -2(-3v + 3w) = 0 (-3v + -15w) + -2(-3v + 3w) = 0 -3v + -15w + (-3v * -2 + 3w * -2) = 0 -3v + -15w + (6v + -6w) = 0 Reorder the terms: -3v + 6v + -15w + -6w = 0 Combine like terms: -3v + 6v = 3v 3v + -15w + -6w = 0 Combine like terms: -15w + -6w = -21w 3v + -21w = 0 Solving 3v + -21w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '21w' to each side of the equation. 3v + -21w + 21w = 0 + 21w Combine like terms: -21w + 21w = 0 3v + 0 = 0 + 21w 3v = 0 + 21w Remove the zero: 3v = 21w Divide each side by '3'. v = 7w Simplifying v = 7w
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