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Simplifying -4(-1v + x) + -1(-3x + v) = 0 (-1v * -4 + x * -4) + -1(-3x + v) = 0 (4v + -4x) + -1(-3x + v) = 0 Reorder the terms: 4v + -4x + -1(v + -3x) = 0 4v + -4x + (v * -1 + -3x * -1) = 0 4v + -4x + (-1v + 3x) = 0 Reorder the terms: 4v + -1v + -4x + 3x = 0 Combine like terms: 4v + -1v = 3v 3v + -4x + 3x = 0 Combine like terms: -4x + 3x = -1x 3v + -1x = 0 Solving 3v + -1x = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'x' to each side of the equation. 3v + -1x + x = 0 + x Combine like terms: -1x + x = 0 3v + 0 = 0 + x 3v = 0 + x Remove the zero: 3v = x Divide each side by '3'. v = 0.3333333333x Simplifying v = 0.3333333333x
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