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Simplifying 9.588 = 5.1(6.99 + -0.7v) 9.588 = (6.99 * 5.1 + -0.7v * 5.1) 9.588 = (35.649 + -3.57v) Solving 9.588 = 35.649 + -3.57v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3.57v' to each side of the equation. 9.588 + 3.57v = 35.649 + -3.57v + 3.57v Combine like terms: -3.57v + 3.57v = 0.00 9.588 + 3.57v = 35.649 + 0.00 9.588 + 3.57v = 35.649 Add '-9.588' to each side of the equation. 9.588 + -9.588 + 3.57v = 35.649 + -9.588 Combine like terms: 9.588 + -9.588 = 0.000 0.000 + 3.57v = 35.649 + -9.588 3.57v = 35.649 + -9.588 Combine like terms: 35.649 + -9.588 = 26.061 3.57v = 26.061 Divide each side by '3.57'. v = 7.3 Simplifying v = 7.3
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