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Simplifying 18 = -5v + 2(v + 6) Reorder the terms: 18 = -5v + 2(6 + v) 18 = -5v + (6 * 2 + v * 2) 18 = -5v + (12 + 2v) Reorder the terms: 18 = 12 + -5v + 2v Combine like terms: -5v + 2v = -3v 18 = 12 + -3v Solving 18 = 12 + -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. 18 + 3v = 12 + -3v + 3v Combine like terms: -3v + 3v = 0 18 + 3v = 12 + 0 18 + 3v = 12 Add '-18' to each side of the equation. 18 + -18 + 3v = 12 + -18 Combine like terms: 18 + -18 = 0 0 + 3v = 12 + -18 3v = 12 + -18 Combine like terms: 12 + -18 = -6 3v = -6 Divide each side by '3'. v = -2 Simplifying v = -2
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