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Simplifying -1(6v + x) + -3(5x + v) = 0 (6v * -1 + x * -1) + -3(5x + v) = 0 (-6v + -1x) + -3(5x + v) = 0 Reorder the terms: -6v + -1x + -3(v + 5x) = 0 -6v + -1x + (v * -3 + 5x * -3) = 0 -6v + -1x + (-3v + -15x) = 0 Reorder the terms: -6v + -3v + -1x + -15x = 0 Combine like terms: -6v + -3v = -9v -9v + -1x + -15x = 0 Combine like terms: -1x + -15x = -16x -9v + -16x = 0 Solving -9v + -16x = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '16x' to each side of the equation. -9v + -16x + 16x = 0 + 16x Combine like terms: -16x + 16x = 0 -9v + 0 = 0 + 16x -9v = 0 + 16x Remove the zero: -9v = 16x Divide each side by '-9'. v = -1.777777778x Simplifying v = -1.777777778x
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