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Simplifying -2(8v + -2) + 4v = 6(v + 2) Reorder the terms: -2(-2 + 8v) + 4v = 6(v + 2) (-2 * -2 + 8v * -2) + 4v = 6(v + 2) (4 + -16v) + 4v = 6(v + 2) Combine like terms: -16v + 4v = -12v 4 + -12v = 6(v + 2) Reorder the terms: 4 + -12v = 6(2 + v) 4 + -12v = (2 * 6 + v * 6) 4 + -12v = (12 + 6v) Solving 4 + -12v = 12 + 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. 4 + -12v + -6v = 12 + 6v + -6v Combine like terms: -12v + -6v = -18v 4 + -18v = 12 + 6v + -6v Combine like terms: 6v + -6v = 0 4 + -18v = 12 + 0 4 + -18v = 12 Add '-4' to each side of the equation. 4 + -4 + -18v = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -18v = 12 + -4 -18v = 12 + -4 Combine like terms: 12 + -4 = 8 -18v = 8 Divide each side by '-18'. v = -0.4444444444 Simplifying v = -0.4444444444
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