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Simplifying -2v + -6 = -6(v + -3) Reorder the terms: -6 + -2v = -6(v + -3) Reorder the terms: -6 + -2v = -6(-3 + v) -6 + -2v = (-3 * -6 + v * -6) -6 + -2v = (18 + -6v) Solving -6 + -2v = 18 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -6 + -2v + 6v = 18 + -6v + 6v Combine like terms: -2v + 6v = 4v -6 + 4v = 18 + -6v + 6v Combine like terms: -6v + 6v = 0 -6 + 4v = 18 + 0 -6 + 4v = 18 Add '6' to each side of the equation. -6 + 6 + 4v = 18 + 6 Combine like terms: -6 + 6 = 0 0 + 4v = 18 + 6 4v = 18 + 6 Combine like terms: 18 + 6 = 24 4v = 24 Divide each side by '4'. v = 6 Simplifying v = 6
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