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