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Simplifying 2.7v + 14.91 = 3.4v + 19.77 + 0.2v Reorder the terms: 14.91 + 2.7v = 3.4v + 19.77 + 0.2v Reorder the terms: 14.91 + 2.7v = 19.77 + 3.4v + 0.2v Combine like terms: 3.4v + 0.2v = 3.6v 14.91 + 2.7v = 19.77 + 3.6v Solving 14.91 + 2.7v = 19.77 + 3.6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3.6v' to each side of the equation. 14.91 + 2.7v + -3.6v = 19.77 + 3.6v + -3.6v Combine like terms: 2.7v + -3.6v = -0.9v 14.91 + -0.9v = 19.77 + 3.6v + -3.6v Combine like terms: 3.6v + -3.6v = 0.0 14.91 + -0.9v = 19.77 + 0.0 14.91 + -0.9v = 19.77 Add '-14.91' to each side of the equation. 14.91 + -14.91 + -0.9v = 19.77 + -14.91 Combine like terms: 14.91 + -14.91 = 0.00 0.00 + -0.9v = 19.77 + -14.91 -0.9v = 19.77 + -14.91 Combine like terms: 19.77 + -14.91 = 4.86 -0.9v = 4.86 Divide each side by '-0.9'. v = -5.4 Simplifying v = -5.4
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