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Simplifying 5(4 + v) + 37v = 11v (4 * 5 + v * 5) + 37v = 11v (20 + 5v) + 37v = 11v Combine like terms: 5v + 37v = 42v 20 + 42v = 11v Solving 20 + 42v = 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. 20 + 42v + -11v = 11v + -11v Combine like terms: 42v + -11v = 31v 20 + 31v = 11v + -11v Combine like terms: 11v + -11v = 0 20 + 31v = 0 Add '-20' to each side of the equation. 20 + -20 + 31v = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 31v = 0 + -20 31v = 0 + -20 Combine like terms: 0 + -20 = -20 31v = -20 Divide each side by '31'. v = -0.6451612903 Simplifying v = -0.6451612903
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