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Simplifying -1(v + x) + 6(-4x + 4v) = 0 (v * -1 + x * -1) + 6(-4x + 4v) = 0 (-1v + -1x) + 6(-4x + 4v) = 0 Reorder the terms: -1v + -1x + 6(4v + -4x) = 0 -1v + -1x + (4v * 6 + -4x * 6) = 0 -1v + -1x + (24v + -24x) = 0 Reorder the terms: -1v + 24v + -1x + -24x = 0 Combine like terms: -1v + 24v = 23v 23v + -1x + -24x = 0 Combine like terms: -1x + -24x = -25x 23v + -25x = 0 Solving 23v + -25x = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '25x' to each side of the equation. 23v + -25x + 25x = 0 + 25x Combine like terms: -25x + 25x = 0 23v + 0 = 0 + 25x 23v = 0 + 25x Remove the zero: 23v = 25x Divide each side by '23'. v = 1.086956522x Simplifying v = 1.086956522x
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