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Simplifying -4(v + 1) = 2(1 + 2v) + -6 Reorder the terms: -4(1 + v) = 2(1 + 2v) + -6 (1 * -4 + v * -4) = 2(1 + 2v) + -6 (-4 + -4v) = 2(1 + 2v) + -6 -4 + -4v = (1 * 2 + 2v * 2) + -6 -4 + -4v = (2 + 4v) + -6 Reorder the terms: -4 + -4v = 2 + -6 + 4v Combine like terms: 2 + -6 = -4 -4 + -4v = -4 + 4v Add '4' to each side of the equation. -4 + 4 + -4v = -4 + 4 + 4v Combine like terms: -4 + 4 = 0 0 + -4v = -4 + 4 + 4v -4v = -4 + 4 + 4v Combine like terms: -4 + 4 = 0 -4v = 0 + 4v -4v = 4v Solving -4v = 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. -4v + -4v = 4v + -4v Combine like terms: -4v + -4v = -8v -8v = 4v + -4v Combine like terms: 4v + -4v = 0 -8v = 0 Divide each side by '-8'. v = 0 Simplifying v = 0
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