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Simplifying 30 = 3(v + 2) + 3v Reorder the terms: 30 = 3(2 + v) + 3v 30 = (2 * 3 + v * 3) + 3v 30 = (6 + 3v) + 3v Combine like terms: 3v + 3v = 6v 30 = 6 + 6v Solving 30 = 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. 30 + -6v = 6 + 6v + -6v Combine like terms: 6v + -6v = 0 30 + -6v = 6 + 0 30 + -6v = 6 Add '-30' to each side of the equation. 30 + -30 + -6v = 6 + -30 Combine like terms: 30 + -30 = 0 0 + -6v = 6 + -30 -6v = 6 + -30 Combine like terms: 6 + -30 = -24 -6v = -24 Divide each side by '-6'. v = 4 Simplifying v = 4
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