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Simplifying -30 = 3(v + -2) + -6v Reorder the terms: -30 = 3(-2 + v) + -6v -30 = (-2 * 3 + v * 3) + -6v -30 = (-6 + 3v) + -6v Combine like terms: 3v + -6v = -3v -30 = -6 + -3v Solving -30 = -6 + -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 = -6 + -3v + 3v Combine like terms: -3v + 3v = 0 -30 + 3v = -6 + 0 -30 + 3v = -6 Add '30' to each side of the equation. -30 + 30 + 3v = -6 + 30 Combine like terms: -30 + 30 = 0 0 + 3v = -6 + 30 3v = -6 + 30 Combine like terms: -6 + 30 = 24 3v = 24 Divide each side by '3'. v = 8 Simplifying v = 8
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