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Simplifying -6 = 4v + 2(v + -6) Reorder the terms: -6 = 4v + 2(-6 + v) -6 = 4v + (-6 * 2 + v * 2) -6 = 4v + (-12 + 2v) Reorder the terms: -6 = -12 + 4v + 2v Combine like terms: 4v + 2v = 6v -6 = -12 + 6v Solving -6 = -12 + 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 + -6v = -12 + 6v + -6v Combine like terms: 6v + -6v = 0 -6 + -6v = -12 + 0 -6 + -6v = -12 Add '6' to each side of the equation. -6 + 6 + -6v = -12 + 6 Combine like terms: -6 + 6 = 0 0 + -6v = -12 + 6 -6v = -12 + 6 Combine like terms: -12 + 6 = -6 -6v = -6 Divide each side by '-6'. v = 1 Simplifying v = 1
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