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Simplifying 5(6v + 2) + 4 = 14 + -4v Reorder the terms: 5(2 + 6v) + 4 = 14 + -4v (2 * 5 + 6v * 5) + 4 = 14 + -4v (10 + 30v) + 4 = 14 + -4v Reorder the terms: 10 + 4 + 30v = 14 + -4v Combine like terms: 10 + 4 = 14 14 + 30v = 14 + -4v Add '-14' to each side of the equation. 14 + -14 + 30v = 14 + -14 + -4v Combine like terms: 14 + -14 = 0 0 + 30v = 14 + -14 + -4v 30v = 14 + -14 + -4v Combine like terms: 14 + -14 = 0 30v = 0 + -4v 30v = -4v Solving 30v = -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 30v + 4v = -4v + 4v Combine like terms: 30v + 4v = 34v 34v = -4v + 4v Combine like terms: -4v + 4v = 0 34v = 0 Divide each side by '34'. v = 0 Simplifying v = 0
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