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Simplifying -9v + -30 = 3(v + 2) Reorder the terms: -30 + -9v = 3(v + 2) Reorder the terms: -30 + -9v = 3(2 + v) -30 + -9v = (2 * 3 + v * 3) -30 + -9v = (6 + 3v) Solving -30 + -9v = 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 + -9v + -3v = 6 + 3v + -3v Combine like terms: -9v + -3v = -12v -30 + -12v = 6 + 3v + -3v Combine like terms: 3v + -3v = 0 -30 + -12v = 6 + 0 -30 + -12v = 6 Add '30' to each side of the equation. -30 + 30 + -12v = 6 + 30 Combine like terms: -30 + 30 = 0 0 + -12v = 6 + 30 -12v = 6 + 30 Combine like terms: 6 + 30 = 36 -12v = 36 Divide each side by '-12'. v = -3 Simplifying v = -3
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