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Simplifying 14v + 6 = 2(5 + 7w) + -4 Reorder the terms: 6 + 14v = 2(5 + 7w) + -4 6 + 14v = (5 * 2 + 7w * 2) + -4 6 + 14v = (10 + 14w) + -4 Reorder the terms: 6 + 14v = 10 + -4 + 14w Combine like terms: 10 + -4 = 6 6 + 14v = 6 + 14w Add '-6' to each side of the equation. 6 + -6 + 14v = 6 + -6 + 14w Combine like terms: 6 + -6 = 0 0 + 14v = 6 + -6 + 14w 14v = 6 + -6 + 14w Combine like terms: 6 + -6 = 0 14v = 0 + 14w 14v = 14w Solving 14v = 14w Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Divide each side by '14'. v = w Simplifying v = w
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