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Simplifying -10.53 + 18.9v = 8.3v + -5.07 + 11.9v Reorder the terms: -10.53 + 18.9v = -5.07 + 8.3v + 11.9v Combine like terms: 8.3v + 11.9v = 20.2v -10.53 + 18.9v = -5.07 + 20.2v Solving -10.53 + 18.9v = -5.07 + 20.2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-20.2v' to each side of the equation. -10.53 + 18.9v + -20.2v = -5.07 + 20.2v + -20.2v Combine like terms: 18.9v + -20.2v = -1.3v -10.53 + -1.3v = -5.07 + 20.2v + -20.2v Combine like terms: 20.2v + -20.2v = 0.0 -10.53 + -1.3v = -5.07 + 0.0 -10.53 + -1.3v = -5.07 Add '10.53' to each side of the equation. -10.53 + 10.53 + -1.3v = -5.07 + 10.53 Combine like terms: -10.53 + 10.53 = 0.00 0.00 + -1.3v = -5.07 + 10.53 -1.3v = -5.07 + 10.53 Combine like terms: -5.07 + 10.53 = 5.46 -1.3v = 5.46 Divide each side by '-1.3'. v = -4.2 Simplifying v = -4.2
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