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Simplifying -6(v + 2) = 6v + 12 Reorder the terms: -6(2 + v) = 6v + 12 (2 * -6 + v * -6) = 6v + 12 (-12 + -6v) = 6v + 12 Reorder the terms: -12 + -6v = 12 + 6v Solving -12 + -6v = 12 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -12 + -6v + -6v = 12 + 6v + -6v Combine like terms: -6v + -6v = -12v -12 + -12v = 12 + 6v + -6v Combine like terms: 6v + -6v = 0 -12 + -12v = 12 + 0 -12 + -12v = 12 Add '12' to each side of the equation. -12 + 12 + -12v = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -12v = 12 + 12 -12v = 12 + 12 Combine like terms: 12 + 12 = 24 -12v = 24 Divide each side by '-12'. v = -2 Simplifying v = -2
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