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Simplifying 10 + -1v + 4 + -4v = v + -2 Reorder the terms: 10 + 4 + -1v + -4v = v + -2 Combine like terms: 10 + 4 = 14 14 + -1v + -4v = v + -2 Combine like terms: -1v + -4v = -5v 14 + -5v = v + -2 Reorder the terms: 14 + -5v = -2 + v Solving 14 + -5v = -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 + -5v + -1v = -2 + v + -1v Combine like terms: -5v + -1v = -6v 14 + -6v = -2 + v + -1v Combine like terms: v + -1v = 0 14 + -6v = -2 + 0 14 + -6v = -2 Add '-14' to each side of the equation. 14 + -14 + -6v = -2 + -14 Combine like terms: 14 + -14 = 0 0 + -6v = -2 + -14 -6v = -2 + -14 Combine like terms: -2 + -14 = -16 -6v = -16 Divide each side by '-6'. v = 2.666666667 Simplifying v = 2.666666667
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