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Simplifying 4(2 + -1v) = 2v + 2 (2 * 4 + -1v * 4) = 2v + 2 (8 + -4v) = 2v + 2 Reorder the terms: 8 + -4v = 2 + 2v Solving 8 + -4v = 2 + 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. 8 + -4v + -2v = 2 + 2v + -2v Combine like terms: -4v + -2v = -6v 8 + -6v = 2 + 2v + -2v Combine like terms: 2v + -2v = 0 8 + -6v = 2 + 0 8 + -6v = 2 Add '-8' to each side of the equation. 8 + -8 + -6v = 2 + -8 Combine like terms: 8 + -8 = 0 0 + -6v = 2 + -8 -6v = 2 + -8 Combine like terms: 2 + -8 = -6 -6v = -6 Divide each side by '-6'. v = 1 Simplifying v = 1
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