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Simplifying -1(-1v + 5) + 5(-4x + -5v) = 0 Reorder the terms: -1(5 + -1v) + 5(-4x + -5v) = 0 (5 * -1 + -1v * -1) + 5(-4x + -5v) = 0 (-5 + 1v) + 5(-4x + -5v) = 0 Reorder the terms: -5 + 1v + 5(-5v + -4x) = 0 -5 + 1v + (-5v * 5 + -4x * 5) = 0 -5 + 1v + (-25v + -20x) = 0 Combine like terms: 1v + -25v = -24v -5 + -24v + -20x = 0 Solving -5 + -24v + -20x = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -24v + 5 + -20x = 0 + 5 Reorder the terms: -5 + 5 + -24v + -20x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -24v + -20x = 0 + 5 -24v + -20x = 0 + 5 Combine like terms: 0 + 5 = 5 -24v + -20x = 5 Add '20x' to each side of the equation. -24v + -20x + 20x = 5 + 20x Combine like terms: -20x + 20x = 0 -24v + 0 = 5 + 20x -24v = 5 + 20x Divide each side by '-24'. v = -0.2083333333 + -0.8333333333x Simplifying v = -0.2083333333 + -0.8333333333x
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