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Simplifying 18 = 4(v + 6) + -6v Reorder the terms: 18 = 4(6 + v) + -6v 18 = (6 * 4 + v * 4) + -6v 18 = (24 + 4v) + -6v Combine like terms: 4v + -6v = -2v 18 = 24 + -2v Solving 18 = 24 + -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. 18 + 2v = 24 + -2v + 2v Combine like terms: -2v + 2v = 0 18 + 2v = 24 + 0 18 + 2v = 24 Add '-18' to each side of the equation. 18 + -18 + 2v = 24 + -18 Combine like terms: 18 + -18 = 0 0 + 2v = 24 + -18 2v = 24 + -18 Combine like terms: 24 + -18 = 6 2v = 6 Divide each side by '2'. v = 3 Simplifying v = 3
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