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Simplifying -1(v + -4) + -2v = 1 + -1(4v + -1) Reorder the terms: -1(-4 + v) + -2v = 1 + -1(4v + -1) (-4 * -1 + v * -1) + -2v = 1 + -1(4v + -1) (4 + -1v) + -2v = 1 + -1(4v + -1) Combine like terms: -1v + -2v = -3v 4 + -3v = 1 + -1(4v + -1) Reorder the terms: 4 + -3v = 1 + -1(-1 + 4v) 4 + -3v = 1 + (-1 * -1 + 4v * -1) 4 + -3v = 1 + (1 + -4v) Combine like terms: 1 + 1 = 2 4 + -3v = 2 + -4v Solving 4 + -3v = 2 + -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. 4 + -3v + 4v = 2 + -4v + 4v Combine like terms: -3v + 4v = 1v 4 + 1v = 2 + -4v + 4v Combine like terms: -4v + 4v = 0 4 + 1v = 2 + 0 4 + 1v = 2 Add '-4' to each side of the equation. 4 + -4 + 1v = 2 + -4 Combine like terms: 4 + -4 = 0 0 + 1v = 2 + -4 1v = 2 + -4 Combine like terms: 2 + -4 = -2 1v = -2 Divide each side by '1'. v = -2 Simplifying v = -2
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