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Simplifying -2v + 6 = 4(v + -6) Reorder the terms: 6 + -2v = 4(v + -6) Reorder the terms: 6 + -2v = 4(-6 + v) 6 + -2v = (-6 * 4 + v * 4) 6 + -2v = (-24 + 4v) Solving 6 + -2v = -24 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 6 + -2v + -4v = -24 + 4v + -4v Combine like terms: -2v + -4v = -6v 6 + -6v = -24 + 4v + -4v Combine like terms: 4v + -4v = 0 6 + -6v = -24 + 0 6 + -6v = -24 Add '-6' to each side of the equation. 6 + -6 + -6v = -24 + -6 Combine like terms: 6 + -6 = 0 0 + -6v = -24 + -6 -6v = -24 + -6 Combine like terms: -24 + -6 = -30 -6v = -30 Divide each side by '-6'. v = 5 Simplifying v = 5
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