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Simplifying 20v + -45 + -2v = 6v + -48 + -1 Reorder the terms: -45 + 20v + -2v = 6v + -48 + -1 Combine like terms: 20v + -2v = 18v -45 + 18v = 6v + -48 + -1 Reorder the terms: -45 + 18v = -48 + -1 + 6v Combine like terms: -48 + -1 = -49 -45 + 18v = -49 + 6v Solving -45 + 18v = -49 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -45 + 18v + -6v = -49 + 6v + -6v Combine like terms: 18v + -6v = 12v -45 + 12v = -49 + 6v + -6v Combine like terms: 6v + -6v = 0 -45 + 12v = -49 + 0 -45 + 12v = -49 Add '45' to each side of the equation. -45 + 45 + 12v = -49 + 45 Combine like terms: -45 + 45 = 0 0 + 12v = -49 + 45 12v = -49 + 45 Combine like terms: -49 + 45 = -4 12v = -4 Divide each side by '12'. v = -0.3333333333 Simplifying v = -0.3333333333
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