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Simplifying 12 = 4(v + 2) + -8v Reorder the terms: 12 = 4(2 + v) + -8v 12 = (2 * 4 + v * 4) + -8v 12 = (8 + 4v) + -8v Combine like terms: 4v + -8v = -4v 12 = 8 + -4v Solving 12 = 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 + 4v = 8 + -4v + 4v Combine like terms: -4v + 4v = 0 12 + 4v = 8 + 0 12 + 4v = 8 Add '-12' to each side of the equation. 12 + -12 + 4v = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 4v = 8 + -12 4v = 8 + -12 Combine like terms: 8 + -12 = -4 4v = -4 Divide each side by '4'. v = -1 Simplifying v = -1
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