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Simplifying -11.8v + -19.54 + 3.9v = -5.9v + 6.66 Reorder the terms: -19.54 + -11.8v + 3.9v = -5.9v + 6.66 Combine like terms: -11.8v + 3.9v = -7.9v -19.54 + -7.9v = -5.9v + 6.66 Reorder the terms: -19.54 + -7.9v = 6.66 + -5.9v Solving -19.54 + -7.9v = 6.66 + -5.9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5.9v' to each side of the equation. -19.54 + -7.9v + 5.9v = 6.66 + -5.9v + 5.9v Combine like terms: -7.9v + 5.9v = -2v -19.54 + -2v = 6.66 + -5.9v + 5.9v Combine like terms: -5.9v + 5.9v = 0.0 -19.54 + -2v = 6.66 + 0.0 -19.54 + -2v = 6.66 Add '19.54' to each side of the equation. -19.54 + 19.54 + -2v = 6.66 + 19.54 Combine like terms: -19.54 + 19.54 = 0.00 0.00 + -2v = 6.66 + 19.54 -2v = 6.66 + 19.54 Combine like terms: 6.66 + 19.54 = 26.2 -2v = 26.2 Divide each side by '-2'. v = -13.1 Simplifying v = -13.1
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