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Simplifying -4(-5v + -1x) + -5(-2x + -1v) = 0 (-5v * -4 + -1x * -4) + -5(-2x + -1v) = 0 (20v + 4x) + -5(-2x + -1v) = 0 Reorder the terms: 20v + 4x + -5(-1v + -2x) = 0 20v + 4x + (-1v * -5 + -2x * -5) = 0 20v + 4x + (5v + 10x) = 0 Reorder the terms: 20v + 5v + 4x + 10x = 0 Combine like terms: 20v + 5v = 25v 25v + 4x + 10x = 0 Combine like terms: 4x + 10x = 14x 25v + 14x = 0 Solving 25v + 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. 25v + 14x + -14x = 0 + -14x Combine like terms: 14x + -14x = 0 25v + 0 = 0 + -14x 25v = 0 + -14x Remove the zero: 25v = -14x Divide each side by '25'. v = -0.56x Simplifying v = -0.56x
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