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Simplifying 3(2 + v) + -4v = v + 18 (2 * 3 + v * 3) + -4v = v + 18 (6 + 3v) + -4v = v + 18 Combine like terms: 3v + -4v = -1v 6 + -1v = v + 18 Reorder the terms: 6 + -1v = 18 + v Solving 6 + -1v = 18 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 6 + -1v + -1v = 18 + v + -1v Combine like terms: -1v + -1v = -2v 6 + -2v = 18 + v + -1v Combine like terms: v + -1v = 0 6 + -2v = 18 + 0 6 + -2v = 18 Add '-6' to each side of the equation. 6 + -6 + -2v = 18 + -6 Combine like terms: 6 + -6 = 0 0 + -2v = 18 + -6 -2v = 18 + -6 Combine like terms: 18 + -6 = 12 -2v = 12 Divide each side by '-2'. v = -6 Simplifying v = -6
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