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Simplifying 12 + 7v + -4 = -16 + 3v Reorder the terms: 12 + -4 + 7v = -16 + 3v Combine like terms: 12 + -4 = 8 8 + 7v = -16 + 3v Solving 8 + 7v = -16 + 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. 8 + 7v + -3v = -16 + 3v + -3v Combine like terms: 7v + -3v = 4v 8 + 4v = -16 + 3v + -3v Combine like terms: 3v + -3v = 0 8 + 4v = -16 + 0 8 + 4v = -16 Add '-8' to each side of the equation. 8 + -8 + 4v = -16 + -8 Combine like terms: 8 + -8 = 0 0 + 4v = -16 + -8 4v = -16 + -8 Combine like terms: -16 + -8 = -24 4v = -24 Divide each side by '4'. v = -6 Simplifying v = -6
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