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Simplifying 30 = 3(v + 3) + -6v Reorder the terms: 30 = 3(3 + v) + -6v 30 = (3 * 3 + v * 3) + -6v 30 = (9 + 3v) + -6v Combine like terms: 3v + -6v = -3v 30 = 9 + -3v Solving 30 = 9 + -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. 30 + 3v = 9 + -3v + 3v Combine like terms: -3v + 3v = 0 30 + 3v = 9 + 0 30 + 3v = 9 Add '-30' to each side of the equation. 30 + -30 + 3v = 9 + -30 Combine like terms: 30 + -30 = 0 0 + 3v = 9 + -30 3v = 9 + -30 Combine like terms: 9 + -30 = -21 3v = -21 Divide each side by '3'. v = -7 Simplifying v = -7
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