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Simplifying 8(3 + v) + 38v = 15v (3 * 8 + v * 8) + 38v = 15v (24 + 8v) + 38v = 15v Combine like terms: 8v + 38v = 46v 24 + 46v = 15v Solving 24 + 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. 24 + 46v + -15v = 15v + -15v Combine like terms: 46v + -15v = 31v 24 + 31v = 15v + -15v Combine like terms: 15v + -15v = 0 24 + 31v = 0 Add '-24' to each side of the equation. 24 + -24 + 31v = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 31v = 0 + -24 31v = 0 + -24 Combine like terms: 0 + -24 = -24 31v = -24 Divide each side by '31'. v = -0.7741935484 Simplifying v = -0.7741935484
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