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Simplifying 3(3v + -2) = 4(2v + 2) Reorder the terms: 3(-2 + 3v) = 4(2v + 2) (-2 * 3 + 3v * 3) = 4(2v + 2) (-6 + 9v) = 4(2v + 2) Reorder the terms: -6 + 9v = 4(2 + 2v) -6 + 9v = (2 * 4 + 2v * 4) -6 + 9v = (8 + 8v) Solving -6 + 9v = 8 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -6 + 9v + -8v = 8 + 8v + -8v Combine like terms: 9v + -8v = 1v -6 + 1v = 8 + 8v + -8v Combine like terms: 8v + -8v = 0 -6 + 1v = 8 + 0 -6 + 1v = 8 Add '6' to each side of the equation. -6 + 6 + 1v = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 1v = 8 + 6 1v = 8 + 6 Combine like terms: 8 + 6 = 14 1v = 14 Divide each side by '1'. v = 14 Simplifying v = 14
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