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Simplifying 6(v + -2) = 2v + 4 Reorder the terms: 6(-2 + v) = 2v + 4 (-2 * 6 + v * 6) = 2v + 4 (-12 + 6v) = 2v + 4 Reorder the terms: -12 + 6v = 4 + 2v Solving -12 + 6v = 4 + 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. -12 + 6v + -2v = 4 + 2v + -2v Combine like terms: 6v + -2v = 4v -12 + 4v = 4 + 2v + -2v Combine like terms: 2v + -2v = 0 -12 + 4v = 4 + 0 -12 + 4v = 4 Add '12' to each side of the equation. -12 + 12 + 4v = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 4v = 4 + 12 4v = 4 + 12 Combine like terms: 4 + 12 = 16 4v = 16 Divide each side by '4'. v = 4 Simplifying v = 4
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