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Simplifying -2(6v + -1) + 6v = 4 + 2(6v + -8) Reorder the terms: -2(-1 + 6v) + 6v = 4 + 2(6v + -8) (-1 * -2 + 6v * -2) + 6v = 4 + 2(6v + -8) (2 + -12v) + 6v = 4 + 2(6v + -8) Combine like terms: -12v + 6v = -6v 2 + -6v = 4 + 2(6v + -8) Reorder the terms: 2 + -6v = 4 + 2(-8 + 6v) 2 + -6v = 4 + (-8 * 2 + 6v * 2) 2 + -6v = 4 + (-16 + 12v) Combine like terms: 4 + -16 = -12 2 + -6v = -12 + 12v Solving 2 + -6v = -12 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. 2 + -6v + -12v = -12 + 12v + -12v Combine like terms: -6v + -12v = -18v 2 + -18v = -12 + 12v + -12v Combine like terms: 12v + -12v = 0 2 + -18v = -12 + 0 2 + -18v = -12 Add '-2' to each side of the equation. 2 + -2 + -18v = -12 + -2 Combine like terms: 2 + -2 = 0 0 + -18v = -12 + -2 -18v = -12 + -2 Combine like terms: -12 + -2 = -14 -18v = -14 Divide each side by '-18'. v = 0.7777777778 Simplifying v = 0.7777777778
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