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Simplifying -3(2v + -2) + 2v = 4v + 1 Reorder the terms: -3(-2 + 2v) + 2v = 4v + 1 (-2 * -3 + 2v * -3) + 2v = 4v + 1 (6 + -6v) + 2v = 4v + 1 Combine like terms: -6v + 2v = -4v 6 + -4v = 4v + 1 Reorder the terms: 6 + -4v = 1 + 4v Solving 6 + -4v = 1 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 6 + -4v + -4v = 1 + 4v + -4v Combine like terms: -4v + -4v = -8v 6 + -8v = 1 + 4v + -4v Combine like terms: 4v + -4v = 0 6 + -8v = 1 + 0 6 + -8v = 1 Add '-6' to each side of the equation. 6 + -6 + -8v = 1 + -6 Combine like terms: 6 + -6 = 0 0 + -8v = 1 + -6 -8v = 1 + -6 Combine like terms: 1 + -6 = -5 -8v = -5 Divide each side by '-8'. v = 0.625 Simplifying v = 0.625
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