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Simplifying 30 = 6v + 3(v + 4) Reorder the terms: 30 = 6v + 3(4 + v) 30 = 6v + (4 * 3 + v * 3) 30 = 6v + (12 + 3v) Reorder the terms: 30 = 12 + 6v + 3v Combine like terms: 6v + 3v = 9v 30 = 12 + 9v Solving 30 = 12 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 30 + -9v = 12 + 9v + -9v Combine like terms: 9v + -9v = 0 30 + -9v = 12 + 0 30 + -9v = 12 Add '-30' to each side of the equation. 30 + -30 + -9v = 12 + -30 Combine like terms: 30 + -30 = 0 0 + -9v = 12 + -30 -9v = 12 + -30 Combine like terms: 12 + -30 = -18 -9v = -18 Divide each side by '-9'. v = 2 Simplifying v = 2
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