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Simplifying 12 = -6v + 4(v + 8) Reorder the terms: 12 = -6v + 4(8 + v) 12 = -6v + (8 * 4 + v * 4) 12 = -6v + (32 + 4v) Reorder the terms: 12 = 32 + -6v + 4v Combine like terms: -6v + 4v = -2v 12 = 32 + -2v Solving 12 = 32 + -2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '2v' to each side of the equation. 12 + 2v = 32 + -2v + 2v Combine like terms: -2v + 2v = 0 12 + 2v = 32 + 0 12 + 2v = 32 Add '-12' to each side of the equation. 12 + -12 + 2v = 32 + -12 Combine like terms: 12 + -12 = 0 0 + 2v = 32 + -12 2v = 32 + -12 Combine like terms: 32 + -12 = 20 2v = 20 Divide each side by '2'. v = 10 Simplifying v = 10
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