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Simplifying 7(3 + v) + 39v = 14v (3 * 7 + v * 7) + 39v = 14v (21 + 7v) + 39v = 14v Combine like terms: 7v + 39v = 46v 21 + 46v = 14v Solving 21 + 46v = 14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-14v' to each side of the equation. 21 + 46v + -14v = 14v + -14v Combine like terms: 46v + -14v = 32v 21 + 32v = 14v + -14v Combine like terms: 14v + -14v = 0 21 + 32v = 0 Add '-21' to each side of the equation. 21 + -21 + 32v = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 32v = 0 + -21 32v = 0 + -21 Combine like terms: 0 + -21 = -21 32v = -21 Divide each side by '32'. v = -0.65625 Simplifying v = -0.65625
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