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Simplifying 3v + 3(v + 6) = 12 Reorder the terms: 3v + 3(6 + v) = 12 3v + (6 * 3 + v * 3) = 12 3v + (18 + 3v) = 12 Reorder the terms: 18 + 3v + 3v = 12 Combine like terms: 3v + 3v = 6v 18 + 6v = 12 Solving 18 + 6v = 12 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 6v = 12 + -18 Combine like terms: 18 + -18 = 0 0 + 6v = 12 + -18 6v = 12 + -18 Combine like terms: 12 + -18 = -6 6v = -6 Divide each side by '6'. v = -1 Simplifying v = -1
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