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Simplifying -4(v + 2) + 2 = 2(v + 6) Reorder the terms: -4(2 + v) + 2 = 2(v + 6) (2 * -4 + v * -4) + 2 = 2(v + 6) (-8 + -4v) + 2 = 2(v + 6) Reorder the terms: -8 + 2 + -4v = 2(v + 6) Combine like terms: -8 + 2 = -6 -6 + -4v = 2(v + 6) Reorder the terms: -6 + -4v = 2(6 + v) -6 + -4v = (6 * 2 + v * 2) -6 + -4v = (12 + 2v) Solving -6 + -4v = 12 + 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. -6 + -4v + -2v = 12 + 2v + -2v Combine like terms: -4v + -2v = -6v -6 + -6v = 12 + 2v + -2v Combine like terms: 2v + -2v = 0 -6 + -6v = 12 + 0 -6 + -6v = 12 Add '6' to each side of the equation. -6 + 6 + -6v = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -6v = 12 + 6 -6v = 12 + 6 Combine like terms: 12 + 6 = 18 -6v = 18 Divide each side by '-6'. v = -3 Simplifying v = -3
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