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