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Simplifying -8(-3v + 4w + -2) = 0 Reorder the terms: -8(-2 + -3v + 4w) = 0 (-2 * -8 + -3v * -8 + 4w * -8) = 0 (16 + 24v + -32w) = 0 Solving 16 + 24v + -32w = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + 24v + -16 + -32w = 0 + -16 Reorder the terms: 16 + -16 + 24v + -32w = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 24v + -32w = 0 + -16 24v + -32w = 0 + -16 Combine like terms: 0 + -16 = -16 24v + -32w = -16 Add '32w' to each side of the equation. 24v + -32w + 32w = -16 + 32w Combine like terms: -32w + 32w = 0 24v + 0 = -16 + 32w 24v = -16 + 32w Divide each side by '24'. v = -0.6666666667 + 1.333333333w Simplifying v = -0.6666666667 + 1.333333333w
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