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Simplifying -6(v + -2) = -9 + -3v Reorder the terms: -6(-2 + v) = -9 + -3v (-2 * -6 + v * -6) = -9 + -3v (12 + -6v) = -9 + -3v Solving 12 + -6v = -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. 12 + -6v + 3v = -9 + -3v + 3v Combine like terms: -6v + 3v = -3v 12 + -3v = -9 + -3v + 3v Combine like terms: -3v + 3v = 0 12 + -3v = -9 + 0 12 + -3v = -9 Add '-12' to each side of the equation. 12 + -12 + -3v = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -3v = -9 + -12 -3v = -9 + -12 Combine like terms: -9 + -12 = -21 -3v = -21 Divide each side by '-3'. v = 7 Simplifying v = 7
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