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Simplifying 6(6v + 6) + -5 = 11 + 6v Reorder the terms: 6(6 + 6v) + -5 = 11 + 6v (6 * 6 + 6v * 6) + -5 = 11 + 6v (36 + 36v) + -5 = 11 + 6v Reorder the terms: 36 + -5 + 36v = 11 + 6v Combine like terms: 36 + -5 = 31 31 + 36v = 11 + 6v Solving 31 + 36v = 11 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 31 + 36v + -6v = 11 + 6v + -6v Combine like terms: 36v + -6v = 30v 31 + 30v = 11 + 6v + -6v Combine like terms: 6v + -6v = 0 31 + 30v = 11 + 0 31 + 30v = 11 Add '-31' to each side of the equation. 31 + -31 + 30v = 11 + -31 Combine like terms: 31 + -31 = 0 0 + 30v = 11 + -31 30v = 11 + -31 Combine like terms: 11 + -31 = -20 30v = -20 Divide each side by '30'. v = -0.6666666667 Simplifying v = -0.6666666667
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