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Simplifying -2v + -5(1 + -4v) = -5 + -4v -2v + (1 * -5 + -4v * -5) = -5 + -4v -2v + (-5 + 20v) = -5 + -4v Reorder the terms: -5 + -2v + 20v = -5 + -4v Combine like terms: -2v + 20v = 18v -5 + 18v = -5 + -4v Add '5' to each side of the equation. -5 + 5 + 18v = -5 + 5 + -4v Combine like terms: -5 + 5 = 0 0 + 18v = -5 + 5 + -4v 18v = -5 + 5 + -4v Combine like terms: -5 + 5 = 0 18v = 0 + -4v 18v = -4v Solving 18v = -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. 18v + 4v = -4v + 4v Combine like terms: 18v + 4v = 22v 22v = -4v + 4v Combine like terms: -4v + 4v = 0 22v = 0 Divide each side by '22'. v = 0 Simplifying v = 0
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