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Simplifying 1.00v + 3.20(33 + -1v) = 70.40 1.00v + (33 * 3.20 + -1v * 3.20) = 70.40 1.00v + (105.6 + -3.2v) = 70.40 Reorder the terms: 105.6 + 1.00v + -3.2v = 70.40 Combine like terms: 1.00v + -3.2v = -2.2v 105.6 + -2.2v = 70.40 Solving 105.6 + -2.2v = 70.40 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-105.6' to each side of the equation. 105.6 + -105.6 + -2.2v = 70.40 + -105.6 Combine like terms: 105.6 + -105.6 = 0.0 0.0 + -2.2v = 70.40 + -105.6 -2.2v = 70.40 + -105.6 Combine like terms: 70.40 + -105.6 = -35.2 -2.2v = -35.2 Divide each side by '-2.2'. v = 16 Simplifying v = 16
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