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Simplifying v + -20 = 3(-19v + 20) + 18v Reorder the terms: -20 + v = 3(-19v + 20) + 18v Reorder the terms: -20 + v = 3(20 + -19v) + 18v -20 + v = (20 * 3 + -19v * 3) + 18v -20 + v = (60 + -57v) + 18v Combine like terms: -57v + 18v = -39v -20 + v = 60 + -39v Solving -20 + v = 60 + -39v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '39v' to each side of the equation. -20 + v + 39v = 60 + -39v + 39v Combine like terms: v + 39v = 40v -20 + 40v = 60 + -39v + 39v Combine like terms: -39v + 39v = 0 -20 + 40v = 60 + 0 -20 + 40v = 60 Add '20' to each side of the equation. -20 + 20 + 40v = 60 + 20 Combine like terms: -20 + 20 = 0 0 + 40v = 60 + 20 40v = 60 + 20 Combine like terms: 60 + 20 = 80 40v = 80 Divide each side by '40'. v = 2 Simplifying v = 2
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