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Simplifying 4v + 6 = 2(5 + 7v) + -4 Reorder the terms: 6 + 4v = 2(5 + 7v) + -4 6 + 4v = (5 * 2 + 7v * 2) + -4 6 + 4v = (10 + 14v) + -4 Reorder the terms: 6 + 4v = 10 + -4 + 14v Combine like terms: 10 + -4 = 6 6 + 4v = 6 + 14v Add '-6' to each side of the equation. 6 + -6 + 4v = 6 + -6 + 14v Combine like terms: 6 + -6 = 0 0 + 4v = 6 + -6 + 14v 4v = 6 + -6 + 14v Combine like terms: 6 + -6 = 0 4v = 0 + 14v 4v = 14v Solving 4v = 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. 4v + -14v = 14v + -14v Combine like terms: 4v + -14v = -10v -10v = 14v + -14v Combine like terms: 14v + -14v = 0 -10v = 0 Divide each side by '-10'. v = 0.0 Simplifying v = 0.0
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