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Simplifying 2(v + 7) = 3v Reorder the terms: 2(7 + v) = 3v (7 * 2 + v * 2) = 3v (14 + 2v) = 3v Solving 14 + 2v = 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. 14 + 2v + -3v = 3v + -3v Combine like terms: 2v + -3v = -1v 14 + -1v = 3v + -3v Combine like terms: 3v + -3v = 0 14 + -1v = 0 Add '-14' to each side of the equation. 14 + -14 + -1v = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1v = 0 + -14 -1v = 0 + -14 Combine like terms: 0 + -14 = -14 -1v = -14 Divide each side by '-1'. v = 14 Simplifying v = 14
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