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Simplifying -2(v + 6) + -6v = 4(v + 3) Reorder the terms: -2(6 + v) + -6v = 4(v + 3) (6 * -2 + v * -2) + -6v = 4(v + 3) (-12 + -2v) + -6v = 4(v + 3) Combine like terms: -2v + -6v = -8v -12 + -8v = 4(v + 3) Reorder the terms: -12 + -8v = 4(3 + v) -12 + -8v = (3 * 4 + v * 4) -12 + -8v = (12 + 4v) Solving -12 + -8v = 12 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -12 + -8v + -4v = 12 + 4v + -4v Combine like terms: -8v + -4v = -12v -12 + -12v = 12 + 4v + -4v Combine like terms: 4v + -4v = 0 -12 + -12v = 12 + 0 -12 + -12v = 12 Add '12' to each side of the equation. -12 + 12 + -12v = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -12v = 12 + 12 -12v = 12 + 12 Combine like terms: 12 + 12 = 24 -12v = 24 Divide each side by '-12'. v = -2 Simplifying v = -2
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