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Simplifying 6(6v + 5) = 1 + 6v Reorder the terms: 6(5 + 6v) = 1 + 6v (5 * 6 + 6v * 6) = 1 + 6v (30 + 36v) = 1 + 6v Solving 30 + 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. 30 + 36v + -6v = 1 + 6v + -6v Combine like terms: 36v + -6v = 30v 30 + 30v = 1 + 6v + -6v Combine like terms: 6v + -6v = 0 30 + 30v = 1 + 0 30 + 30v = 1 Add '-30' to each side of the equation. 30 + -30 + 30v = 1 + -30 Combine like terms: 30 + -30 = 0 0 + 30v = 1 + -30 30v = 1 + -30 Combine like terms: 1 + -30 = -29 30v = -29 Divide each side by '30'. v = -0.9666666667 Simplifying v = -0.9666666667
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