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Simplifying 2000 + 20v = 1000 + 40v Solving 2000 + 20v = 1000 + 40v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-40v' to each side of the equation. 2000 + 20v + -40v = 1000 + 40v + -40v Combine like terms: 20v + -40v = -20v 2000 + -20v = 1000 + 40v + -40v Combine like terms: 40v + -40v = 0 2000 + -20v = 1000 + 0 2000 + -20v = 1000 Add '-2000' to each side of the equation. 2000 + -2000 + -20v = 1000 + -2000 Combine like terms: 2000 + -2000 = 0 0 + -20v = 1000 + -2000 -20v = 1000 + -2000 Combine like terms: 1000 + -2000 = -1000 -20v = -1000 Divide each side by '-20'. v = 50 Simplifying v = 50
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