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Simplifying 40v + 7 = 90v + 30 Reorder the terms: 7 + 40v = 90v + 30 Reorder the terms: 7 + 40v = 30 + 90v Solving 7 + 40v = 30 + 90v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-90v' to each side of the equation. 7 + 40v + -90v = 30 + 90v + -90v Combine like terms: 40v + -90v = -50v 7 + -50v = 30 + 90v + -90v Combine like terms: 90v + -90v = 0 7 + -50v = 30 + 0 7 + -50v = 30 Add '-7' to each side of the equation. 7 + -7 + -50v = 30 + -7 Combine like terms: 7 + -7 = 0 0 + -50v = 30 + -7 -50v = 30 + -7 Combine like terms: 30 + -7 = 23 -50v = 23 Divide each side by '-50'. v = -0.46 Simplifying v = -0.46
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