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Simplifying -2(4x + v) + -6(6v + x) = 0 Reorder the terms: -2(v + 4x) + -6(6v + x) = 0 (v * -2 + 4x * -2) + -6(6v + x) = 0 (-2v + -8x) + -6(6v + x) = 0 -2v + -8x + (6v * -6 + x * -6) = 0 -2v + -8x + (-36v + -6x) = 0 Reorder the terms: -2v + -36v + -8x + -6x = 0 Combine like terms: -2v + -36v = -38v -38v + -8x + -6x = 0 Combine like terms: -8x + -6x = -14x -38v + -14x = 0 Solving -38v + -14x = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14x' to each side of the equation. -38v + -14x + 14x = 0 + 14x Combine like terms: -14x + 14x = 0 -38v + 0 = 0 + 14x -38v = 0 + 14x Remove the zero: -38v = 14x Divide each side by '-38'. v = -0.3684210526x Simplifying v = -0.3684210526x
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