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Simplifying 12 = 2(3v + 3) Reorder the terms: 12 = 2(3 + 3v) 12 = (3 * 2 + 3v * 2) 12 = (6 + 6v) Solving 12 = 6 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 12 + -6v = 6 + 6v + -6v Combine like terms: 6v + -6v = 0 12 + -6v = 6 + 0 12 + -6v = 6 Add '-12' to each side of the equation. 12 + -12 + -6v = 6 + -12 Combine like terms: 12 + -12 = 0 0 + -6v = 6 + -12 -6v = 6 + -12 Combine like terms: 6 + -12 = -6 -6v = -6 Divide each side by '-6'. v = 1 Simplifying v = 1
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