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Simplifying 9(v + 2) = 3v + 30 Reorder the terms: 9(2 + v) = 3v + 30 (2 * 9 + v * 9) = 3v + 30 (18 + 9v) = 3v + 30 Reorder the terms: 18 + 9v = 30 + 3v Solving 18 + 9v = 30 + 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. 18 + 9v + -3v = 30 + 3v + -3v Combine like terms: 9v + -3v = 6v 18 + 6v = 30 + 3v + -3v Combine like terms: 3v + -3v = 0 18 + 6v = 30 + 0 18 + 6v = 30 Add '-18' to each side of the equation. 18 + -18 + 6v = 30 + -18 Combine like terms: 18 + -18 = 0 0 + 6v = 30 + -18 6v = 30 + -18 Combine like terms: 30 + -18 = 12 6v = 12 Divide each side by '6'. v = 2 Simplifying v = 2
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