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Simplifying -3v + 12v + 13 = 14v + -4v Reorder the terms: 13 + -3v + 12v = 14v + -4v Combine like terms: -3v + 12v = 9v 13 + 9v = 14v + -4v Combine like terms: 14v + -4v = 10v 13 + 9v = 10v Solving 13 + 9v = 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. 13 + 9v + -10v = 10v + -10v Combine like terms: 9v + -10v = -1v 13 + -1v = 10v + -10v Combine like terms: 10v + -10v = 0 13 + -1v = 0 Add '-13' to each side of the equation. 13 + -13 + -1v = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1v = 0 + -13 -1v = 0 + -13 Combine like terms: 0 + -13 = -13 -1v = -13 Divide each side by '-1'. v = 13 Simplifying v = 13
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