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Simplifying v + 0.66v + -0.33 = 0.71(v + 0.6) Reorder the terms: -0.33 + v + 0.66v = 0.71(v + 0.6) Combine like terms: v + 0.66v = 1.66v -0.33 + 1.66v = 0.71(v + 0.6) Reorder the terms: -0.33 + 1.66v = 0.71(0.6 + v) -0.33 + 1.66v = (0.6 * 0.71 + v * 0.71) -0.33 + 1.66v = (0.426 + 0.71v) Solving -0.33 + 1.66v = 0.426 + 0.71v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-0.71v' to each side of the equation. -0.33 + 1.66v + -0.71v = 0.426 + 0.71v + -0.71v Combine like terms: 1.66v + -0.71v = 0.95v -0.33 + 0.95v = 0.426 + 0.71v + -0.71v Combine like terms: 0.71v + -0.71v = 0.00 -0.33 + 0.95v = 0.426 + 0.00 -0.33 + 0.95v = 0.426 Add '0.33' to each side of the equation. -0.33 + 0.33 + 0.95v = 0.426 + 0.33 Combine like terms: -0.33 + 0.33 = 0.00 0.00 + 0.95v = 0.426 + 0.33 0.95v = 0.426 + 0.33 Combine like terms: 0.426 + 0.33 = 0.756 0.95v = 0.756 Divide each side by '0.95'. v = 0.7957894737 Simplifying v = 0.7957894737
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