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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 = -24 -6v = -24 Divide each side by '-6'. v = 4 Simplifying v = 4
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