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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 = -6v 30 + -6v = -6 + -3v + 3v Combine like terms: -3v + 3v = 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 = -36 -6v = -36 Divide each side by '-6'. v = 6 Simplifying v = 6
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