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Simplifying -2(4v + -1) + 8v = -6(v + 2) Reorder the terms: -2(-1 + 4v) + 8v = -6(v + 2) (-1 * -2 + 4v * -2) + 8v = -6(v + 2) (2 + -8v) + 8v = -6(v + 2) Combine like terms: -8v + 8v = 0 2 + 0 = -6(v + 2) 2 = -6(v + 2) Reorder the terms: 2 = -6(2 + v) 2 = (2 * -6 + v * -6) 2 = (-12 + -6v) Solving 2 = -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. 2 + 6v = -12 + -6v + 6v Combine like terms: -6v + 6v = 0 2 + 6v = -12 + 0 2 + 6v = -12 Add '-2' to each side of the equation. 2 + -2 + 6v = -12 + -2 Combine like terms: 2 + -2 = 0 0 + 6v = -12 + -2 6v = -12 + -2 Combine like terms: -12 + -2 = -14 6v = -14 Divide each side by '6'. v = -2.333333333 Simplifying v = -2.333333333
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