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Simplifying -25 + -8v = 5(5 + 8v) + 2v -25 + -8v = (5 * 5 + 8v * 5) + 2v -25 + -8v = (25 + 40v) + 2v Combine like terms: 40v + 2v = 42v -25 + -8v = 25 + 42v Solving -25 + -8v = 25 + 42v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-42v' to each side of the equation. -25 + -8v + -42v = 25 + 42v + -42v Combine like terms: -8v + -42v = -50v -25 + -50v = 25 + 42v + -42v Combine like terms: 42v + -42v = 0 -25 + -50v = 25 + 0 -25 + -50v = 25 Add '25' to each side of the equation. -25 + 25 + -50v = 25 + 25 Combine like terms: -25 + 25 = 0 0 + -50v = 25 + 25 -50v = 25 + 25 Combine like terms: 25 + 25 = 50 -50v = 50 Divide each side by '-50'. v = -1 Simplifying v = -1
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