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Simplifying -15v + 30 + 3v = 3v + 27 Reorder the terms: 30 + -15v + 3v = 3v + 27 Combine like terms: -15v + 3v = -12v 30 + -12v = 3v + 27 Reorder the terms: 30 + -12v = 27 + 3v Solving 30 + -12v = 27 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 30 + -12v + -3v = 27 + 3v + -3v Combine like terms: -12v + -3v = -15v 30 + -15v = 27 + 3v + -3v Combine like terms: 3v + -3v = 0 30 + -15v = 27 + 0 30 + -15v = 27 Add '-30' to each side of the equation. 30 + -30 + -15v = 27 + -30 Combine like terms: 30 + -30 = 0 0 + -15v = 27 + -30 -15v = 27 + -30 Combine like terms: 27 + -30 = -3 -15v = -3 Divide each side by '-15'. v = 0.2 Simplifying v = 0.2
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