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Simplifying -2(6v + -1) + 2v = -6(v + 2) Reorder the terms: -2(-1 + 6v) + 2v = -6(v + 2) (-1 * -2 + 6v * -2) + 2v = -6(v + 2) (2 + -12v) + 2v = -6(v + 2) Combine like terms: -12v + 2v = -10v 2 + -10v = -6(v + 2) Reorder the terms: 2 + -10v = -6(2 + v) 2 + -10v = (2 * -6 + v * -6) 2 + -10v = (-12 + -6v) Solving 2 + -10v = -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 + -10v + 6v = -12 + -6v + 6v Combine like terms: -10v + 6v = -4v 2 + -4v = -12 + -6v + 6v Combine like terms: -6v + 6v = 0 2 + -4v = -12 + 0 2 + -4v = -12 Add '-2' to each side of the equation. 2 + -2 + -4v = -12 + -2 Combine like terms: 2 + -2 = 0 0 + -4v = -12 + -2 -4v = -12 + -2 Combine like terms: -12 + -2 = -14 -4v = -14 Divide each side by '-4'. v = 3.5 Simplifying v = 3.5
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