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Simplifying 7(v + 5) = 25 + 5v Reorder the terms: 7(5 + v) = 25 + 5v (5 * 7 + v * 7) = 25 + 5v (35 + 7v) = 25 + 5v Solving 35 + 7v = 25 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 35 + 7v + -5v = 25 + 5v + -5v Combine like terms: 7v + -5v = 2v 35 + 2v = 25 + 5v + -5v Combine like terms: 5v + -5v = 0 35 + 2v = 25 + 0 35 + 2v = 25 Add '-35' to each side of the equation. 35 + -35 + 2v = 25 + -35 Combine like terms: 35 + -35 = 0 0 + 2v = 25 + -35 2v = 25 + -35 Combine like terms: 25 + -35 = -10 2v = -10 Divide each side by '2'. v = -5 Simplifying v = -5
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