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Simplifying 18 = 4(v + 3) + -2v Reorder the terms: 18 = 4(3 + v) + -2v 18 = (3 * 4 + v * 4) + -2v 18 = (12 + 4v) + -2v Combine like terms: 4v + -2v = 2v 18 = 12 + 2v Solving 18 = 12 + 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 = 12 + 2v + -2v Combine like terms: 2v + -2v = 0 18 + -2v = 12 + 0 18 + -2v = 12 Add '-18' to each side of the equation. 18 + -18 + -2v = 12 + -18 Combine like terms: 18 + -18 = 0 0 + -2v = 12 + -18 -2v = 12 + -18 Combine like terms: 12 + -18 = -6 -2v = -6 Divide each side by '-2'. v = 3 Simplifying v = 3
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