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Simplifying -2(-4v + x) + -6(-1x + -3v) = 0 (-4v * -2 + x * -2) + -6(-1x + -3v) = 0 (8v + -2x) + -6(-1x + -3v) = 0 Reorder the terms: 8v + -2x + -6(-3v + -1x) = 0 8v + -2x + (-3v * -6 + -1x * -6) = 0 8v + -2x + (18v + 6x) = 0 Reorder the terms: 8v + 18v + -2x + 6x = 0 Combine like terms: 8v + 18v = 26v 26v + -2x + 6x = 0 Combine like terms: -2x + 6x = 4x 26v + 4x = 0 Solving 26v + 4x = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4x' to each side of the equation. 26v + 4x + -4x = 0 + -4x Combine like terms: 4x + -4x = 0 26v + 0 = 0 + -4x 26v = 0 + -4x Remove the zero: 26v = -4x Divide each side by '26'. v = -0.1538461538x Simplifying v = -0.1538461538x
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