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Simplifying -0.8v + -17.32 = 19.38 + 4v + 18.5 Reorder the terms: -17.32 + -0.8v = 19.38 + 4v + 18.5 Reorder the terms: -17.32 + -0.8v = 19.38 + 18.5 + 4v Combine like terms: 19.38 + 18.5 = 37.88 -17.32 + -0.8v = 37.88 + 4v Solving -17.32 + -0.8v = 37.88 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -17.32 + -0.8v + -4v = 37.88 + 4v + -4v Combine like terms: -0.8v + -4v = -4.8v -17.32 + -4.8v = 37.88 + 4v + -4v Combine like terms: 4v + -4v = 0 -17.32 + -4.8v = 37.88 + 0 -17.32 + -4.8v = 37.88 Add '17.32' to each side of the equation. -17.32 + 17.32 + -4.8v = 37.88 + 17.32 Combine like terms: -17.32 + 17.32 = 0.00 0.00 + -4.8v = 37.88 + 17.32 -4.8v = 37.88 + 17.32 Combine like terms: 37.88 + 17.32 = 55.2 -4.8v = 55.2 Divide each side by '-4.8'. v = -11.5 Simplifying v = -11.5
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