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Simplifying -6v + -4(2v + -1) = -2v + 1 Reorder the terms: -6v + -4(-1 + 2v) = -2v + 1 -6v + (-1 * -4 + 2v * -4) = -2v + 1 -6v + (4 + -8v) = -2v + 1 Reorder the terms: 4 + -6v + -8v = -2v + 1 Combine like terms: -6v + -8v = -14v 4 + -14v = -2v + 1 Reorder the terms: 4 + -14v = 1 + -2v Solving 4 + -14v = 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 + -14v + 2v = 1 + -2v + 2v Combine like terms: -14v + 2v = -12v 4 + -12v = 1 + -2v + 2v Combine like terms: -2v + 2v = 0 4 + -12v = 1 + 0 4 + -12v = 1 Add '-4' to each side of the equation. 4 + -4 + -12v = 1 + -4 Combine like terms: 4 + -4 = 0 0 + -12v = 1 + -4 -12v = 1 + -4 Combine like terms: 1 + -4 = -3 -12v = -3 Divide each side by '-12'. v = 0.25 Simplifying v = 0.25
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