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Simplifying -4v + -6 = -2(v + 8) Reorder the terms: -6 + -4v = -2(v + 8) Reorder the terms: -6 + -4v = -2(8 + v) -6 + -4v = (8 * -2 + v * -2) -6 + -4v = (-16 + -2v) Solving -6 + -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. -6 + -4v + 2v = -16 + -2v + 2v Combine like terms: -4v + 2v = -2v -6 + -2v = -16 + -2v + 2v Combine like terms: -2v + 2v = 0 -6 + -2v = -16 + 0 -6 + -2v = -16 Add '6' to each side of the equation. -6 + 6 + -2v = -16 + 6 Combine like terms: -6 + 6 = 0 0 + -2v = -16 + 6 -2v = -16 + 6 Combine like terms: -16 + 6 = -10 -2v = -10 Divide each side by '-2'. v = 5 Simplifying v = 5
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