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Simplifying -6v + 12.92 = 10.9v + -5.6v + -7.42 Reorder the terms: 12.92 + -6v = 10.9v + -5.6v + -7.42 Reorder the terms: 12.92 + -6v = -7.42 + 10.9v + -5.6v Combine like terms: 10.9v + -5.6v = 5.3v 12.92 + -6v = -7.42 + 5.3v Solving 12.92 + -6v = -7.42 + 5.3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5.3v' to each side of the equation. 12.92 + -6v + -5.3v = -7.42 + 5.3v + -5.3v Combine like terms: -6v + -5.3v = -11.3v 12.92 + -11.3v = -7.42 + 5.3v + -5.3v Combine like terms: 5.3v + -5.3v = 0.0 12.92 + -11.3v = -7.42 + 0.0 12.92 + -11.3v = -7.42 Add '-12.92' to each side of the equation. 12.92 + -12.92 + -11.3v = -7.42 + -12.92 Combine like terms: 12.92 + -12.92 = 0.00 0.00 + -11.3v = -7.42 + -12.92 -11.3v = -7.42 + -12.92 Combine like terms: -7.42 + -12.92 = -20.34 -11.3v = -20.34 Divide each side by '-11.3'. v = 1.8 Simplifying v = 1.8
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