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Simplifying 6(6v + 6) + 5 = 1 + 6v Reorder the terms: 6(6 + 6v) + 5 = 1 + 6v (6 * 6 + 6v * 6) + 5 = 1 + 6v (36 + 36v) + 5 = 1 + 6v Reorder the terms: 36 + 5 + 36v = 1 + 6v Combine like terms: 36 + 5 = 41 41 + 36v = 1 + 6v Solving 41 + 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. 41 + 36v + -6v = 1 + 6v + -6v Combine like terms: 36v + -6v = 30v 41 + 30v = 1 + 6v + -6v Combine like terms: 6v + -6v = 0 41 + 30v = 1 + 0 41 + 30v = 1 Add '-41' to each side of the equation. 41 + -41 + 30v = 1 + -41 Combine like terms: 41 + -41 = 0 0 + 30v = 1 + -41 30v = 1 + -41 Combine like terms: 1 + -41 = -40 30v = -40 Divide each side by '30'. v = -1.333333333 Simplifying v = -1.333333333
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