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Simplifying 4v + -5 = 6v + 12 Reorder the terms: -5 + 4v = 6v + 12 Reorder the terms: -5 + 4v = 12 + 6v Solving -5 + 4v = 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. -5 + 4v + -6v = 12 + 6v + -6v Combine like terms: 4v + -6v = -2v -5 + -2v = 12 + 6v + -6v Combine like terms: 6v + -6v = 0 -5 + -2v = 12 + 0 -5 + -2v = 12 Add '5' to each side of the equation. -5 + 5 + -2v = 12 + 5 Combine like terms: -5 + 5 = 0 0 + -2v = 12 + 5 -2v = 12 + 5 Combine like terms: 12 + 5 = 17 -2v = 17 Divide each side by '-2'. v = -8.5 Simplifying v = -8.5
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