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Simplifying 4 + 3v + -7v + -2 + v = 0 Reorder the terms: 4 + -2 + 3v + -7v + v = 0 Combine like terms: 4 + -2 = 2 2 + 3v + -7v + v = 0 Combine like terms: 3v + -7v = -4v 2 + -4v + v = 0 Combine like terms: -4v + v = -3v 2 + -3v = 0 Solving 2 + -3v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3v = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3v = 0 + -2 -3v = 0 + -2 Combine like terms: 0 + -2 = -2 -3v = -2 Divide each side by '-3'. v = 0.6666666667 Simplifying v = 0.6666666667
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