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Simplifying 18 = 2(v + 6) + -8v Reorder the terms: 18 = 2(6 + v) + -8v 18 = (6 * 2 + v * 2) + -8v 18 = (12 + 2v) + -8v Combine like terms: 2v + -8v = -6v 18 = 12 + -6v Solving 18 = 12 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. 18 + 6v = 12 + -6v + 6v Combine like terms: -6v + 6v = 0 18 + 6v = 12 + 0 18 + 6v = 12 Add '-18' to each side of the equation. 18 + -18 + 6v = 12 + -18 Combine like terms: 18 + -18 = 0 0 + 6v = 12 + -18 6v = 12 + -18 Combine like terms: 12 + -18 = -6 6v = -6 Divide each side by '6'. v = -1 Simplifying v = -1
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