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Simplifying -3(2v + x) + 3(6x + -6v) = 0 (2v * -3 + x * -3) + 3(6x + -6v) = 0 (-6v + -3x) + 3(6x + -6v) = 0 Reorder the terms: -6v + -3x + 3(-6v + 6x) = 0 -6v + -3x + (-6v * 3 + 6x * 3) = 0 -6v + -3x + (-18v + 18x) = 0 Reorder the terms: -6v + -18v + -3x + 18x = 0 Combine like terms: -6v + -18v = -24v -24v + -3x + 18x = 0 Combine like terms: -3x + 18x = 15x -24v + 15x = 0 Solving -24v + 15x = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15x' to each side of the equation. -24v + 15x + -15x = 0 + -15x Combine like terms: 15x + -15x = 0 -24v + 0 = 0 + -15x -24v = 0 + -15x Remove the zero: -24v = -15x Divide each side by '-24'. v = 0.625x Simplifying v = 0.625x
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