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Simplifying 2(3 + -1v) = v + -9 + -6v (3 * 2 + -1v * 2) = v + -9 + -6v (6 + -2v) = v + -9 + -6v Reorder the terms: 6 + -2v = -9 + v + -6v Combine like terms: v + -6v = -5v 6 + -2v = -9 + -5v Solving 6 + -2v = -9 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 6 + -2v + 5v = -9 + -5v + 5v Combine like terms: -2v + 5v = 3v 6 + 3v = -9 + -5v + 5v Combine like terms: -5v + 5v = 0 6 + 3v = -9 + 0 6 + 3v = -9 Add '-6' to each side of the equation. 6 + -6 + 3v = -9 + -6 Combine like terms: 6 + -6 = 0 0 + 3v = -9 + -6 3v = -9 + -6 Combine like terms: -9 + -6 = -15 3v = -15 Divide each side by '3'. v = -5 Simplifying v = -5
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