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Simplifying -4v + 8 = -2(v + 4) Reorder the terms: 8 + -4v = -2(v + 4) Reorder the terms: 8 + -4v = -2(4 + v) 8 + -4v = (4 * -2 + v * -2) 8 + -4v = (-8 + -2v) Solving 8 + -4v = -8 + -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. 8 + -4v + 2v = -8 + -2v + 2v Combine like terms: -4v + 2v = -2v 8 + -2v = -8 + -2v + 2v Combine like terms: -2v + 2v = 0 8 + -2v = -8 + 0 8 + -2v = -8 Add '-8' to each side of the equation. 8 + -8 + -2v = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -2v = -8 + -8 -2v = -8 + -8 Combine like terms: -8 + -8 = -16 -2v = -16 Divide each side by '-2'. v = 8 Simplifying v = 8
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