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