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