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Simplifying -4v + 12 = -7v Reorder the terms: 12 + -4v = -7v Solving 12 + -4v = -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. 12 + -4v + 7v = -7v + 7v Combine like terms: -4v + 7v = 3v 12 + 3v = -7v + 7v Combine like terms: -7v + 7v = 0 12 + 3v = 0 Add '-12' to each side of the equation. 12 + -12 + 3v = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 3v = 0 + -12 3v = 0 + -12 Combine like terms: 0 + -12 = -12 3v = -12 Divide each side by '3'. v = -4 Simplifying v = -4
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