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Simplifying 8(2 + V) + 31v = 11v (2 * 8 + V * 8) + 31v = 11v (16 + 8V) + 31v = 11v Solving 16 + 8V + 31v = 11v Solving for variable 'V'. Move all terms containing V to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + 8V + -16 + 31v = -16 + 11v Reorder the terms: 16 + -16 + 8V + 31v = -16 + 11v Combine like terms: 16 + -16 = 0 0 + 8V + 31v = -16 + 11v 8V + 31v = -16 + 11v Add '-31v' to each side of the equation. 8V + 31v + -31v = -16 + 11v + -31v Combine like terms: 31v + -31v = 0 8V + 0 = -16 + 11v + -31v 8V = -16 + 11v + -31v Combine like terms: 11v + -31v = -20v 8V = -16 + -20v Divide each side by '8'. V = -2 + -2.5v Simplifying V = -2 + -2.5v
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