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Simplifying -5.7v + 3.2 + -2.2v = 12.4 + 3.6v Reorder the terms: 3.2 + -5.7v + -2.2v = 12.4 + 3.6v Combine like terms: -5.7v + -2.2v = -7.9v 3.2 + -7.9v = 12.4 + 3.6v Solving 3.2 + -7.9v = 12.4 + 3.6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3.6v' to each side of the equation. 3.2 + -7.9v + -3.6v = 12.4 + 3.6v + -3.6v Combine like terms: -7.9v + -3.6v = -11.5v 3.2 + -11.5v = 12.4 + 3.6v + -3.6v Combine like terms: 3.6v + -3.6v = 0.0 3.2 + -11.5v = 12.4 + 0.0 3.2 + -11.5v = 12.4 Add '-3.2' to each side of the equation. 3.2 + -3.2 + -11.5v = 12.4 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + -11.5v = 12.4 + -3.2 -11.5v = 12.4 + -3.2 Combine like terms: 12.4 + -3.2 = 9.2 -11.5v = 9.2 Divide each side by '-11.5'. v = -0.8 Simplifying v = -0.8
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