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Simplifying -2(-5v + -1x) + 3(4x + 2v) = 0 (-5v * -2 + -1x * -2) + 3(4x + 2v) = 0 (10v + 2x) + 3(4x + 2v) = 0 Reorder the terms: 10v + 2x + 3(2v + 4x) = 0 10v + 2x + (2v * 3 + 4x * 3) = 0 10v + 2x + (6v + 12x) = 0 Reorder the terms: 10v + 6v + 2x + 12x = 0 Combine like terms: 10v + 6v = 16v 16v + 2x + 12x = 0 Combine like terms: 2x + 12x = 14x 16v + 14x = 0 Solving 16v + 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. 16v + 14x + -14x = 0 + -14x Combine like terms: 14x + -14x = 0 16v + 0 = 0 + -14x 16v = 0 + -14x Remove the zero: 16v = -14x Divide each side by '16'. v = -0.875x Simplifying v = -0.875x
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