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Simplifying 10 + v + 4 + -4v = v + -2 Reorder the terms: 10 + 4 + v + -4v = v + -2 Combine like terms: 10 + 4 = 14 14 + v + -4v = v + -2 Combine like terms: v + -4v = -3v 14 + -3v = v + -2 Reorder the terms: 14 + -3v = -2 + v Solving 14 + -3v = -2 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 14 + -3v + -1v = -2 + v + -1v Combine like terms: -3v + -1v = -4v 14 + -4v = -2 + v + -1v Combine like terms: v + -1v = 0 14 + -4v = -2 + 0 14 + -4v = -2 Add '-14' to each side of the equation. 14 + -14 + -4v = -2 + -14 Combine like terms: 14 + -14 = 0 0 + -4v = -2 + -14 -4v = -2 + -14 Combine like terms: -2 + -14 = -16 -4v = -16 Divide each side by '-4'. v = 4 Simplifying v = 4
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