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Simplifying 2v + -2 = -3(v + -6) Reorder the terms: -2 + 2v = -3(v + -6) Reorder the terms: -2 + 2v = -3(-6 + v) -2 + 2v = (-6 * -3 + v * -3) -2 + 2v = (18 + -3v) Solving -2 + 2v = 18 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. -2 + 2v + 3v = 18 + -3v + 3v Combine like terms: 2v + 3v = 5v -2 + 5v = 18 + -3v + 3v Combine like terms: -3v + 3v = 0 -2 + 5v = 18 + 0 -2 + 5v = 18 Add '2' to each side of the equation. -2 + 2 + 5v = 18 + 2 Combine like terms: -2 + 2 = 0 0 + 5v = 18 + 2 5v = 18 + 2 Combine like terms: 18 + 2 = 20 5v = 20 Divide each side by '5'. v = 4 Simplifying v = 4
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