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Simplifying 2(v + -7) + 2v = 6 Reorder the terms: 2(-7 + v) + 2v = 6 (-7 * 2 + v * 2) + 2v = 6 (-14 + 2v) + 2v = 6 Combine like terms: 2v + 2v = 4v -14 + 4v = 6 Solving -14 + 4v = 6 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 4v = 6 + 14 Combine like terms: -14 + 14 = 0 0 + 4v = 6 + 14 4v = 6 + 14 Combine like terms: 6 + 14 = 20 4v = 20 Divide each side by '4'. v = 5 Simplifying v = 5
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