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Simplifying 7(2 + 5v) = 3v + 14 (2 * 7 + 5v * 7) = 3v + 14 (14 + 35v) = 3v + 14 Reorder the terms: 14 + 35v = 14 + 3v Add '-14' to each side of the equation. 14 + -14 + 35v = 14 + -14 + 3v Combine like terms: 14 + -14 = 0 0 + 35v = 14 + -14 + 3v 35v = 14 + -14 + 3v Combine like terms: 14 + -14 = 0 35v = 0 + 3v 35v = 3v Solving 35v = 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. 35v + -3v = 3v + -3v Combine like terms: 35v + -3v = 32v 32v = 3v + -3v Combine like terms: 3v + -3v = 0 32v = 0 Divide each side by '32'. v = 0 Simplifying v = 0
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