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Simplifying -5v + -15 + 2v + 6 = 6v + 12 Reorder the terms: -15 + 6 + -5v + 2v = 6v + 12 Combine like terms: -15 + 6 = -9 -9 + -5v + 2v = 6v + 12 Combine like terms: -5v + 2v = -3v -9 + -3v = 6v + 12 Reorder the terms: -9 + -3v = 12 + 6v Solving -9 + -3v = 12 + 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. -9 + -3v + -6v = 12 + 6v + -6v Combine like terms: -3v + -6v = -9v -9 + -9v = 12 + 6v + -6v Combine like terms: 6v + -6v = 0 -9 + -9v = 12 + 0 -9 + -9v = 12 Add '9' to each side of the equation. -9 + 9 + -9v = 12 + 9 Combine like terms: -9 + 9 = 0 0 + -9v = 12 + 9 -9v = 12 + 9 Combine like terms: 12 + 9 = 21 -9v = 21 Divide each side by '-9'. v = -2.333333333 Simplifying v = -2.333333333
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