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