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Simplifying 6(5v + 3) + 4v + 7 = 25 + -9v Reorder the terms: 6(3 + 5v) + 4v + 7 = 25 + -9v (3 * 6 + 5v * 6) + 4v + 7 = 25 + -9v (18 + 30v) + 4v + 7 = 25 + -9v Reorder the terms: 18 + 7 + 30v + 4v = 25 + -9v Combine like terms: 18 + 7 = 25 25 + 30v + 4v = 25 + -9v Combine like terms: 30v + 4v = 34v 25 + 34v = 25 + -9v Add '-25' to each side of the equation. 25 + -25 + 34v = 25 + -25 + -9v Combine like terms: 25 + -25 = 0 0 + 34v = 25 + -25 + -9v 34v = 25 + -25 + -9v Combine like terms: 25 + -25 = 0 34v = 0 + -9v 34v = -9v Solving 34v = -9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '9v' to each side of the equation. 34v + 9v = -9v + 9v Combine like terms: 34v + 9v = 43v 43v = -9v + 9v Combine like terms: -9v + 9v = 0 43v = 0 Divide each side by '43'. v = 0 Simplifying v = 0
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