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Simplifying -1(-1v + x) + 5(-4x + -5v) = 0 (-1v * -1 + x * -1) + 5(-4x + -5v) = 0 (1v + -1x) + 5(-4x + -5v) = 0 Reorder the terms: 1v + -1x + 5(-5v + -4x) = 0 1v + -1x + (-5v * 5 + -4x * 5) = 0 1v + -1x + (-25v + -20x) = 0 Reorder the terms: 1v + -25v + -1x + -20x = 0 Combine like terms: 1v + -25v = -24v -24v + -1x + -20x = 0 Combine like terms: -1x + -20x = -21x -24v + -21x = 0 Solving -24v + -21x = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '21x' to each side of the equation. -24v + -21x + 21x = 0 + 21x Combine like terms: -21x + 21x = 0 -24v + 0 = 0 + 21x -24v = 0 + 21x Remove the zero: -24v = 21x Divide each side by '-24'. v = -0.875x Simplifying v = -0.875x
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