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Simplifying 6(6v + 6) = 1 + 6v Reorder the terms: 6(6 + 6v) = 1 + 6v (6 * 6 + 6v * 6) = 1 + 6v (36 + 36v) = 1 + 6v Solving 36 + 36v = 1 + 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. 36 + 36v + -6v = 1 + 6v + -6v Combine like terms: 36v + -6v = 30v 36 + 30v = 1 + 6v + -6v Combine like terms: 6v + -6v = 0 36 + 30v = 1 + 0 36 + 30v = 1 Add '-36' to each side of the equation. 36 + -36 + 30v = 1 + -36 Combine like terms: 36 + -36 = 0 0 + 30v = 1 + -36 30v = 1 + -36 Combine like terms: 1 + -36 = -35 30v = -35 Divide each side by '30'. v = -1.166666667 Simplifying v = -1.166666667
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