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Simplifying 6(2 + v) + 32v = 11v (2 * 6 + v * 6) + 32v = 11v (12 + 6v) + 32v = 11v Combine like terms: 6v + 32v = 38v 12 + 38v = 11v Solving 12 + 38v = 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. 12 + 38v + -11v = 11v + -11v Combine like terms: 38v + -11v = 27v 12 + 27v = 11v + -11v Combine like terms: 11v + -11v = 0 12 + 27v = 0 Add '-12' to each side of the equation. 12 + -12 + 27v = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 27v = 0 + -12 27v = 0 + -12 Combine like terms: 0 + -12 = -12 27v = -12 Divide each side by '27'. v = -0.4444444444 Simplifying v = -0.4444444444
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