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Simplifying 3(v + 6) + 6v = 27 Reorder the terms: 3(6 + v) + 6v = 27 (6 * 3 + v * 3) + 6v = 27 (18 + 3v) + 6v = 27 Combine like terms: 3v + 6v = 9v 18 + 9v = 27 Solving 18 + 9v = 27 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 + 9v = 27 + -18 Combine like terms: 18 + -18 = 0 0 + 9v = 27 + -18 9v = 27 + -18 Combine like terms: 27 + -18 = 9 9v = 9 Divide each side by '9'. v = 1 Simplifying v = 1
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