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Simplifying -4(v + 1) = -4(6v + -2) + 2v Reorder the terms: -4(1 + v) = -4(6v + -2) + 2v (1 * -4 + v * -4) = -4(6v + -2) + 2v (-4 + -4v) = -4(6v + -2) + 2v Reorder the terms: -4 + -4v = -4(-2 + 6v) + 2v -4 + -4v = (-2 * -4 + 6v * -4) + 2v -4 + -4v = (8 + -24v) + 2v Combine like terms: -24v + 2v = -22v -4 + -4v = 8 + -22v Solving -4 + -4v = 8 + -22v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '22v' to each side of the equation. -4 + -4v + 22v = 8 + -22v + 22v Combine like terms: -4v + 22v = 18v -4 + 18v = 8 + -22v + 22v Combine like terms: -22v + 22v = 0 -4 + 18v = 8 + 0 -4 + 18v = 8 Add '4' to each side of the equation. -4 + 4 + 18v = 8 + 4 Combine like terms: -4 + 4 = 0 0 + 18v = 8 + 4 18v = 8 + 4 Combine like terms: 8 + 4 = 12 18v = 12 Divide each side by '18'. v = 0.6666666667 Simplifying v = 0.6666666667
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