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Simplifying -4(v + -1) = (-2v + -1) Reorder the terms: -4(-1 + v) = (-2v + -1) (-1 * -4 + v * -4) = (-2v + -1) (4 + -4v) = (-2v + -1) Reorder the terms: 4 + -4v = (-1 + -2v) Remove parenthesis around (-1 + -2v) 4 + -4v = -1 + -2v Solving 4 + -4v = -1 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 4 + -4v + 2v = -1 + -2v + 2v Combine like terms: -4v + 2v = -2v 4 + -2v = -1 + -2v + 2v Combine like terms: -2v + 2v = 0 4 + -2v = -1 + 0 4 + -2v = -1 Add '-4' to each side of the equation. 4 + -4 + -2v = -1 + -4 Combine like terms: 4 + -4 = 0 0 + -2v = -1 + -4 -2v = -1 + -4 Combine like terms: -1 + -4 = -5 -2v = -5 Divide each side by '-2'. v = 2.5 Simplifying v = 2.5
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