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Simplifying 4 + -7v = v + -2 + -6v Reorder the terms: 4 + -7v = -2 + v + -6v Combine like terms: v + -6v = -5v 4 + -7v = -2 + -5v Solving 4 + -7v = -2 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 4 + -7v + 5v = -2 + -5v + 5v Combine like terms: -7v + 5v = -2v 4 + -2v = -2 + -5v + 5v Combine like terms: -5v + 5v = 0 4 + -2v = -2 + 0 4 + -2v = -2 Add '-4' to each side of the equation. 4 + -4 + -2v = -2 + -4 Combine like terms: 4 + -4 = 0 0 + -2v = -2 + -4 -2v = -2 + -4 Combine like terms: -2 + -4 = -6 -2v = -6 Divide each side by '-2'. v = 3 Simplifying v = 3
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