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Simplifying -4(-1x + -1v) + 3(4v + 2x) = 0 Reorder the terms: -4(-1v + -1x) + 3(4v + 2x) = 0 (-1v * -4 + -1x * -4) + 3(4v + 2x) = 0 (4v + 4x) + 3(4v + 2x) = 0 4v + 4x + (4v * 3 + 2x * 3) = 0 4v + 4x + (12v + 6x) = 0 Reorder the terms: 4v + 12v + 4x + 6x = 0 Combine like terms: 4v + 12v = 16v 16v + 4x + 6x = 0 Combine like terms: 4x + 6x = 10x 16v + 10x = 0 Solving 16v + 10x = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10x' to each side of the equation. 16v + 10x + -10x = 0 + -10x Combine like terms: 10x + -10x = 0 16v + 0 = 0 + -10x 16v = 0 + -10x Remove the zero: 16v = -10x Divide each side by '16'. v = -0.625x Simplifying v = -0.625x
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