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Simplifying 14 + 6 = 2(5 + 7v) + -4 Combine like terms: 14 + 6 = 20 20 = 2(5 + 7v) + -4 20 = (5 * 2 + 7v * 2) + -4 20 = (10 + 14v) + -4 Reorder the terms: 20 = 10 + -4 + 14v Combine like terms: 10 + -4 = 6 20 = 6 + 14v Solving 20 = 6 + 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. 20 + -14v = 6 + 14v + -14v Combine like terms: 14v + -14v = 0 20 + -14v = 6 + 0 20 + -14v = 6 Add '-20' to each side of the equation. 20 + -20 + -14v = 6 + -20 Combine like terms: 20 + -20 = 0 0 + -14v = 6 + -20 -14v = 6 + -20 Combine like terms: 6 + -20 = -14 -14v = -14 Divide each side by '-14'. v = 1 Simplifying v = 1
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