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Simplifying v2 + 3v + -6 = v2 + v + -2 Reorder the terms: -6 + 3v + v2 = v2 + v + -2 Reorder the terms: -6 + 3v + v2 = -2 + v + v2 Add '-1v2' to each side of the equation. -6 + 3v + v2 + -1v2 = -2 + v + v2 + -1v2 Combine like terms: v2 + -1v2 = 0 -6 + 3v + 0 = -2 + v + v2 + -1v2 -6 + 3v = -2 + v + v2 + -1v2 Combine like terms: v2 + -1v2 = 0 -6 + 3v = -2 + v + 0 -6 + 3v = -2 + v Solving -6 + 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. -6 + 3v + -1v = -2 + v + -1v Combine like terms: 3v + -1v = 2v -6 + 2v = -2 + v + -1v Combine like terms: v + -1v = 0 -6 + 2v = -2 + 0 -6 + 2v = -2 Add '6' to each side of the equation. -6 + 6 + 2v = -2 + 6 Combine like terms: -6 + 6 = 0 0 + 2v = -2 + 6 2v = -2 + 6 Combine like terms: -2 + 6 = 4 2v = 4 Divide each side by '2'. v = 2 Simplifying v = 2
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