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Simplifying 14v + -4 = 3v + 16 + 12v Reorder the terms: -4 + 14v = 3v + 16 + 12v Reorder the terms: -4 + 14v = 16 + 3v + 12v Combine like terms: 3v + 12v = 15v -4 + 14v = 16 + 15v Solving -4 + 14v = 16 + 15v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15v' to each side of the equation. -4 + 14v + -15v = 16 + 15v + -15v Combine like terms: 14v + -15v = -1v -4 + -1v = 16 + 15v + -15v Combine like terms: 15v + -15v = 0 -4 + -1v = 16 + 0 -4 + -1v = 16 Add '4' to each side of the equation. -4 + 4 + -1v = 16 + 4 Combine like terms: -4 + 4 = 0 0 + -1v = 16 + 4 -1v = 16 + 4 Combine like terms: 16 + 4 = 20 -1v = 20 Divide each side by '-1'. v = -20 Simplifying v = -20
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