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Simplifying 6v + 12 = 4(v + -2) Reorder the terms: 12 + 6v = 4(v + -2) Reorder the terms: 12 + 6v = 4(-2 + v) 12 + 6v = (-2 * 4 + v * 4) 12 + 6v = (-8 + 4v) Solving 12 + 6v = -8 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 12 + 6v + -4v = -8 + 4v + -4v Combine like terms: 6v + -4v = 2v 12 + 2v = -8 + 4v + -4v Combine like terms: 4v + -4v = 0 12 + 2v = -8 + 0 12 + 2v = -8 Add '-12' to each side of the equation. 12 + -12 + 2v = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 2v = -8 + -12 2v = -8 + -12 Combine like terms: -8 + -12 = -20 2v = -20 Divide each side by '2'. v = -10 Simplifying v = -10
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