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Simplifying 12 = 8v + 4(v + -6) Reorder the terms: 12 = 8v + 4(-6 + v) 12 = 8v + (-6 * 4 + v * 4) 12 = 8v + (-24 + 4v) Reorder the terms: 12 = -24 + 8v + 4v Combine like terms: 8v + 4v = 12v 12 = -24 + 12v Solving 12 = -24 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. 12 + -12v = -24 + 12v + -12v Combine like terms: 12v + -12v = 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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