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Simplifying 2(3v + -2) = 4(v + 9) Reorder the terms: 2(-2 + 3v) = 4(v + 9) (-2 * 2 + 3v * 2) = 4(v + 9) (-4 + 6v) = 4(v + 9) Reorder the terms: -4 + 6v = 4(9 + v) -4 + 6v = (9 * 4 + v * 4) -4 + 6v = (36 + 4v) Solving -4 + 6v = 36 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -4 + 6v + -4v = 36 + 4v + -4v Combine like terms: 6v + -4v = 2v -4 + 2v = 36 + 4v + -4v Combine like terms: 4v + -4v = 0 -4 + 2v = 36 + 0 -4 + 2v = 36 Add '4' to each side of the equation. -4 + 4 + 2v = 36 + 4 Combine like terms: -4 + 4 = 0 0 + 2v = 36 + 4 2v = 36 + 4 Combine like terms: 36 + 4 = 40 2v = 40 Divide each side by '2'. v = 20 Simplifying v = 20
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