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Simplifying -1(3x + -1v) + 3(4v + -3x) = 0 Reorder the terms: -1(-1v + 3x) + 3(4v + -3x) = 0 (-1v * -1 + 3x * -1) + 3(4v + -3x) = 0 (1v + -3x) + 3(4v + -3x) = 0 1v + -3x + (4v * 3 + -3x * 3) = 0 1v + -3x + (12v + -9x) = 0 Reorder the terms: 1v + 12v + -3x + -9x = 0 Combine like terms: 1v + 12v = 13v 13v + -3x + -9x = 0 Combine like terms: -3x + -9x = -12x 13v + -12x = 0 Solving 13v + -12x = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '12x' to each side of the equation. 13v + -12x + 12x = 0 + 12x Combine like terms: -12x + 12x = 0 13v + 0 = 0 + 12x 13v = 0 + 12x Remove the zero: 13v = 12x Divide each side by '13'. v = 0.9230769231x Simplifying v = 0.9230769231x
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