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