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Simplifying -1(2v + -5) + -4v = -1(v + -4) + -4 Reorder the terms: -1(-5 + 2v) + -4v = -1(v + -4) + -4 (-5 * -1 + 2v * -1) + -4v = -1(v + -4) + -4 (5 + -2v) + -4v = -1(v + -4) + -4 Combine like terms: -2v + -4v = -6v 5 + -6v = -1(v + -4) + -4 Reorder the terms: 5 + -6v = -1(-4 + v) + -4 5 + -6v = (-4 * -1 + v * -1) + -4 5 + -6v = (4 + -1v) + -4 Reorder the terms: 5 + -6v = 4 + -4 + -1v Combine like terms: 4 + -4 = 0 5 + -6v = 0 + -1v 5 + -6v = -1v Solving 5 + -6v = -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. 5 + -6v + v = -1v + v Combine like terms: -6v + v = -5v 5 + -5v = -1v + v Combine like terms: -1v + v = 0 5 + -5v = 0 Add '-5' to each side of the equation. 5 + -5 + -5v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -5v = 0 + -5 -5v = 0 + -5 Combine like terms: 0 + -5 = -5 -5v = -5 Divide each side by '-5'. v = 1 Simplifying v = 1
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