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Simplifying 27v + 40 = 30v + 6 Reorder the terms: 40 + 27v = 30v + 6 Reorder the terms: 40 + 27v = 6 + 30v Solving 40 + 27v = 6 + 30v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-30v' to each side of the equation. 40 + 27v + -30v = 6 + 30v + -30v Combine like terms: 27v + -30v = -3v 40 + -3v = 6 + 30v + -30v Combine like terms: 30v + -30v = 0 40 + -3v = 6 + 0 40 + -3v = 6 Add '-40' to each side of the equation. 40 + -40 + -3v = 6 + -40 Combine like terms: 40 + -40 = 0 0 + -3v = 6 + -40 -3v = 6 + -40 Combine like terms: 6 + -40 = -34 -3v = -34 Divide each side by '-3'. v = 11.33333333 Simplifying v = 11.33333333
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