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Simplifying 2(v + -1) = 4v + 4 + -2(-8v + -2) Reorder the terms: 2(-1 + v) = 4v + 4 + -2(-8v + -2) (-1 * 2 + v * 2) = 4v + 4 + -2(-8v + -2) (-2 + 2v) = 4v + 4 + -2(-8v + -2) Reorder the terms: -2 + 2v = 4v + 4 + -2(-2 + -8v) -2 + 2v = 4v + 4 + (-2 * -2 + -8v * -2) -2 + 2v = 4v + 4 + (4 + 16v) Reorder the terms: -2 + 2v = 4 + 4 + 4v + 16v Combine like terms: 4 + 4 = 8 -2 + 2v = 8 + 4v + 16v Combine like terms: 4v + 16v = 20v -2 + 2v = 8 + 20v Solving -2 + 2v = 8 + 20v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-20v' to each side of the equation. -2 + 2v + -20v = 8 + 20v + -20v Combine like terms: 2v + -20v = -18v -2 + -18v = 8 + 20v + -20v Combine like terms: 20v + -20v = 0 -2 + -18v = 8 + 0 -2 + -18v = 8 Add '2' to each side of the equation. -2 + 2 + -18v = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -18v = 8 + 2 -18v = 8 + 2 Combine like terms: 8 + 2 = 10 -18v = 10 Divide each side by '-18'. v = -0.5555555556 Simplifying v = -0.5555555556
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