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Simplifying -1(-6x + v) + 6(3v + -6x) = 0 Reorder the terms: -1(v + -6x) + 6(3v + -6x) = 0 (v * -1 + -6x * -1) + 6(3v + -6x) = 0 (-1v + 6x) + 6(3v + -6x) = 0 -1v + 6x + (3v * 6 + -6x * 6) = 0 -1v + 6x + (18v + -36x) = 0 Reorder the terms: -1v + 18v + 6x + -36x = 0 Combine like terms: -1v + 18v = 17v 17v + 6x + -36x = 0 Combine like terms: 6x + -36x = -30x 17v + -30x = 0 Solving 17v + -30x = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '30x' to each side of the equation. 17v + -30x + 30x = 0 + 30x Combine like terms: -30x + 30x = 0 17v + 0 = 0 + 30x 17v = 0 + 30x Remove the zero: 17v = 30x Divide each side by '17'. v = 1.764705882x Simplifying v = 1.764705882x
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