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Simplifying 6(6v + 6) * 5 = 1 + 6v Reorder the terms: 6(6 + 6v) * 5 = 1 + 6v Reorder the terms for easier multiplication: 6 * 5(6 + 6v) = 1 + 6v Multiply 6 * 5 30(6 + 6v) = 1 + 6v (6 * 30 + 6v * 30) = 1 + 6v (180 + 180v) = 1 + 6v Solving 180 + 180v = 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. 180 + 180v + -6v = 1 + 6v + -6v Combine like terms: 180v + -6v = 174v 180 + 174v = 1 + 6v + -6v Combine like terms: 6v + -6v = 0 180 + 174v = 1 + 0 180 + 174v = 1 Add '-180' to each side of the equation. 180 + -180 + 174v = 1 + -180 Combine like terms: 180 + -180 = 0 0 + 174v = 1 + -180 174v = 1 + -180 Combine like terms: 1 + -180 = -179 174v = -179 Divide each side by '174'. v = -1.028735632 Simplifying v = -1.028735632
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