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Simplifying 6v + -6 = 2(v + 3) Reorder the terms: -6 + 6v = 2(v + 3) Reorder the terms: -6 + 6v = 2(3 + v) -6 + 6v = (3 * 2 + v * 2) -6 + 6v = (6 + 2v) Solving -6 + 6v = 6 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -6 + 6v + -2v = 6 + 2v + -2v Combine like terms: 6v + -2v = 4v -6 + 4v = 6 + 2v + -2v Combine like terms: 2v + -2v = 0 -6 + 4v = 6 + 0 -6 + 4v = 6 Add '6' to each side of the equation. -6 + 6 + 4v = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 4v = 6 + 6 4v = 6 + 6 Combine like terms: 6 + 6 = 12 4v = 12 Divide each side by '4'. v = 3 Simplifying v = 3
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