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