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Simplifying 12.38 + -15.5v = -7.1v + 4.2v + 16.16 Reorder the terms: 12.38 + -15.5v = 16.16 + -7.1v + 4.2v Combine like terms: -7.1v + 4.2v = -2.9v 12.38 + -15.5v = 16.16 + -2.9v Solving 12.38 + -15.5v = 16.16 + -2.9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2.9v' to each side of the equation. 12.38 + -15.5v + 2.9v = 16.16 + -2.9v + 2.9v Combine like terms: -15.5v + 2.9v = -12.6v 12.38 + -12.6v = 16.16 + -2.9v + 2.9v Combine like terms: -2.9v + 2.9v = 0.0 12.38 + -12.6v = 16.16 + 0.0 12.38 + -12.6v = 16.16 Add '-12.38' to each side of the equation. 12.38 + -12.38 + -12.6v = 16.16 + -12.38 Combine like terms: 12.38 + -12.38 = 0.00 0.00 + -12.6v = 16.16 + -12.38 -12.6v = 16.16 + -12.38 Combine like terms: 16.16 + -12.38 = 3.78 -12.6v = 3.78 Divide each side by '-12.6'. v = -0.3 Simplifying v = -0.3
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