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Simplifying -3(v + 2) + -1v = 2(v + -1) + 5 Reorder the terms: -3(2 + v) + -1v = 2(v + -1) + 5 (2 * -3 + v * -3) + -1v = 2(v + -1) + 5 (-6 + -3v) + -1v = 2(v + -1) + 5 Combine like terms: -3v + -1v = -4v -6 + -4v = 2(v + -1) + 5 Reorder the terms: -6 + -4v = 2(-1 + v) + 5 -6 + -4v = (-1 * 2 + v * 2) + 5 -6 + -4v = (-2 + 2v) + 5 Reorder the terms: -6 + -4v = -2 + 5 + 2v Combine like terms: -2 + 5 = 3 -6 + -4v = 3 + 2v Solving -6 + -4v = 3 + 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 = 3 + 2v + -2v Combine like terms: -4v + -2v = -6v -6 + -6v = 3 + 2v + -2v Combine like terms: 2v + -2v = 0 -6 + -6v = 3 + 0 -6 + -6v = 3 Add '6' to each side of the equation. -6 + 6 + -6v = 3 + 6 Combine like terms: -6 + 6 = 0 0 + -6v = 3 + 6 -6v = 3 + 6 Combine like terms: 3 + 6 = 9 -6v = 9 Divide each side by '-6'. v = -1.5 Simplifying v = -1.5
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