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Simplifying -6v + 12 = 6(v + -4) Reorder the terms: 12 + -6v = 6(v + -4) Reorder the terms: 12 + -6v = 6(-4 + v) 12 + -6v = (-4 * 6 + v * 6) 12 + -6v = (-24 + 6v) Solving 12 + -6v = -24 + 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 = -24 + 6v + -6v Combine like terms: -6v + -6v = -12v 12 + -12v = -24 + 6v + -6v Combine like terms: 6v + -6v = 0 12 + -12v = -24 + 0 12 + -12v = -24 Add '-12' to each side of the equation. 12 + -12 + -12v = -24 + -12 Combine like terms: 12 + -12 = 0 0 + -12v = -24 + -12 -12v = -24 + -12 Combine like terms: -24 + -12 = -36 -12v = -36 Divide each side by '-12'. v = 3 Simplifying v = 3
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