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Simplifying 2 = 3(v + 4) + -5v Reorder the terms: 2 = 3(4 + v) + -5v 2 = (4 * 3 + v * 3) + -5v 2 = (12 + 3v) + -5v Combine like terms: 3v + -5v = -2v 2 = 12 + -2v Solving 2 = 12 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 2 + 2v = 12 + -2v + 2v Combine like terms: -2v + 2v = 0 2 + 2v = 12 + 0 2 + 2v = 12 Add '-2' to each side of the equation. 2 + -2 + 2v = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 2v = 12 + -2 2v = 12 + -2 Combine like terms: 12 + -2 = 10 2v = 10 Divide each side by '2'. v = 5 Simplifying v = 5
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