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Simplifying 12 = 2(v + 3) + -5v Reorder the terms: 12 = 2(3 + v) + -5v 12 = (3 * 2 + v * 2) + -5v 12 = (6 + 2v) + -5v Combine like terms: 2v + -5v = -3v 12 = 6 + -3v Solving 12 = 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. 12 + 3v = 6 + -3v + 3v Combine like terms: -3v + 3v = 0 12 + 3v = 6 + 0 12 + 3v = 6 Add '-12' to each side of the equation. 12 + -12 + 3v = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 3v = 6 + -12 3v = 6 + -12 Combine like terms: 6 + -12 = -6 3v = -6 Divide each side by '3'. v = -2 Simplifying v = -2
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