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Simplifying -2v + -6 = -4(v + 1) Reorder the terms: -6 + -2v = -4(v + 1) Reorder the terms: -6 + -2v = -4(1 + v) -6 + -2v = (1 * -4 + v * -4) -6 + -2v = (-4 + -4v) Solving -6 + -2v = -4 + -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. -6 + -2v + 4v = -4 + -4v + 4v Combine like terms: -2v + 4v = 2v -6 + 2v = -4 + -4v + 4v Combine like terms: -4v + 4v = 0 -6 + 2v = -4 + 0 -6 + 2v = -4 Add '6' to each side of the equation. -6 + 6 + 2v = -4 + 6 Combine like terms: -6 + 6 = 0 0 + 2v = -4 + 6 2v = -4 + 6 Combine like terms: -4 + 6 = 2 2v = 2 Divide each side by '2'. v = 1 Simplifying v = 1
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