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Simplifying v + 0.83v + -0.17 = 0.375(v + 0.67) Reorder the terms: -0.17 + v + 0.83v = 0.375(v + 0.67) Combine like terms: v + 0.83v = 1.83v -0.17 + 1.83v = 0.375(v + 0.67) Reorder the terms: -0.17 + 1.83v = 0.375(0.67 + v) -0.17 + 1.83v = (0.67 * 0.375 + v * 0.375) -0.17 + 1.83v = (0.25125 + 0.375v) Solving -0.17 + 1.83v = 0.25125 + 0.375v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-0.375v' to each side of the equation. -0.17 + 1.83v + -0.375v = 0.25125 + 0.375v + -0.375v Combine like terms: 1.83v + -0.375v = 1.455v -0.17 + 1.455v = 0.25125 + 0.375v + -0.375v Combine like terms: 0.375v + -0.375v = 0.000 -0.17 + 1.455v = 0.25125 + 0.000 -0.17 + 1.455v = 0.25125 Add '0.17' to each side of the equation. -0.17 + 0.17 + 1.455v = 0.25125 + 0.17 Combine like terms: -0.17 + 0.17 = 0.00 0.00 + 1.455v = 0.25125 + 0.17 1.455v = 0.25125 + 0.17 Combine like terms: 0.25125 + 0.17 = 0.42125 1.455v = 0.42125 Divide each side by '1.455'. v = 0.2895189003 Simplifying v = 0.2895189003
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