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Simplifying -11.82 + 10.4v + 8.38 = 11.3v + 10.42 Reorder the terms: -11.82 + 8.38 + 10.4v = 11.3v + 10.42 Combine like terms: -11.82 + 8.38 = -3.44 -3.44 + 10.4v = 11.3v + 10.42 Reorder the terms: -3.44 + 10.4v = 10.42 + 11.3v Solving -3.44 + 10.4v = 10.42 + 11.3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11.3v' to each side of the equation. -3.44 + 10.4v + -11.3v = 10.42 + 11.3v + -11.3v Combine like terms: 10.4v + -11.3v = -0.9v -3.44 + -0.9v = 10.42 + 11.3v + -11.3v Combine like terms: 11.3v + -11.3v = 0.0 -3.44 + -0.9v = 10.42 + 0.0 -3.44 + -0.9v = 10.42 Add '3.44' to each side of the equation. -3.44 + 3.44 + -0.9v = 10.42 + 3.44 Combine like terms: -3.44 + 3.44 = 0.00 0.00 + -0.9v = 10.42 + 3.44 -0.9v = 10.42 + 3.44 Combine like terms: 10.42 + 3.44 = 13.86 -0.9v = 13.86 Divide each side by '-0.9'. v = -15.4 Simplifying v = -15.4
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