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Simplifying 18 + -1(4v + -7) + 19v = 7(2v + 7) Reorder the terms: 18 + -1(-7 + 4v) + 19v = 7(2v + 7) 18 + (-7 * -1 + 4v * -1) + 19v = 7(2v + 7) 18 + (7 + -4v) + 19v = 7(2v + 7) Combine like terms: 18 + 7 = 25 25 + -4v + 19v = 7(2v + 7) Combine like terms: -4v + 19v = 15v 25 + 15v = 7(2v + 7) Reorder the terms: 25 + 15v = 7(7 + 2v) 25 + 15v = (7 * 7 + 2v * 7) 25 + 15v = (49 + 14v) Solving 25 + 15v = 49 + 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. 25 + 15v + -14v = 49 + 14v + -14v Combine like terms: 15v + -14v = 1v 25 + 1v = 49 + 14v + -14v Combine like terms: 14v + -14v = 0 25 + 1v = 49 + 0 25 + 1v = 49 Add '-25' to each side of the equation. 25 + -25 + 1v = 49 + -25 Combine like terms: 25 + -25 = 0 0 + 1v = 49 + -25 1v = 49 + -25 Combine like terms: 49 + -25 = 24 1v = 24 Divide each side by '1'. v = 24 Simplifying v = 24
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