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