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Simplifying 9(4 + v) + 37v = 15v (4 * 9 + v * 9) + 37v = 15v (36 + 9v) + 37v = 15v Combine like terms: 9v + 37v = 46v 36 + 46v = 15v Solving 36 + 46v = 15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15v' to each side of the equation. 36 + 46v + -15v = 15v + -15v Combine like terms: 46v + -15v = 31v 36 + 31v = 15v + -15v Combine like terms: 15v + -15v = 0 36 + 31v = 0 Add '-36' to each side of the equation. 36 + -36 + 31v = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 31v = 0 + -36 31v = 0 + -36 Combine like terms: 0 + -36 = -36 31v = -36 Divide each side by '31'. v = -1.161290323 Simplifying v = -1.161290323
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