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Simplifying 13.7v + -6.5 = -6v + 18.25 Reorder the terms: -6.5 + 13.7v = -6v + 18.25 Reorder the terms: -6.5 + 13.7v = 18.25 + -6v Solving -6.5 + 13.7v = 18.25 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -6.5 + 13.7v + 6v = 18.25 + -6v + 6v Combine like terms: 13.7v + 6v = 19.7v -6.5 + 19.7v = 18.25 + -6v + 6v Combine like terms: -6v + 6v = 0 -6.5 + 19.7v = 18.25 + 0 -6.5 + 19.7v = 18.25 Add '6.5' to each side of the equation. -6.5 + 6.5 + 19.7v = 18.25 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + 19.7v = 18.25 + 6.5 19.7v = 18.25 + 6.5 Combine like terms: 18.25 + 6.5 = 24.75 19.7v = 24.75 Divide each side by '19.7'. v = 1.256345178 Simplifying v = 1.256345178
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