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Simplifying 2v + -9 = 10 + 6v + 9 Reorder the terms: -9 + 2v = 10 + 6v + 9 Reorder the terms: -9 + 2v = 10 + 9 + 6v Combine like terms: 10 + 9 = 19 -9 + 2v = 19 + 6v Solving -9 + 2v = 19 + 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 + 2v + -6v = 19 + 6v + -6v Combine like terms: 2v + -6v = -4v -9 + -4v = 19 + 6v + -6v Combine like terms: 6v + -6v = 0 -9 + -4v = 19 + 0 -9 + -4v = 19 Add '9' to each side of the equation. -9 + 9 + -4v = 19 + 9 Combine like terms: -9 + 9 = 0 0 + -4v = 19 + 9 -4v = 19 + 9 Combine like terms: 19 + 9 = 28 -4v = 28 Divide each side by '-4'. v = -7 Simplifying v = -7
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