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