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Simplifying -6 + -2v = 5v + 2(6v + -3) Reorder the terms: -6 + -2v = 5v + 2(-3 + 6v) -6 + -2v = 5v + (-3 * 2 + 6v * 2) -6 + -2v = 5v + (-6 + 12v) Reorder the terms: -6 + -2v = -6 + 5v + 12v Combine like terms: 5v + 12v = 17v -6 + -2v = -6 + 17v Add '6' to each side of the equation. -6 + 6 + -2v = -6 + 6 + 17v Combine like terms: -6 + 6 = 0 0 + -2v = -6 + 6 + 17v -2v = -6 + 6 + 17v Combine like terms: -6 + 6 = 0 -2v = 0 + 17v -2v = 17v Solving -2v = 17v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-17v' to each side of the equation. -2v + -17v = 17v + -17v Combine like terms: -2v + -17v = -19v -19v = 17v + -17v Combine like terms: 17v + -17v = 0 -19v = 0 Divide each side by '-19'. v = 0 Simplifying v = 0
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