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Simplifying 242 = 5(7v + -2) + 6v Reorder the terms: 242 = 5(-2 + 7v) + 6v 242 = (-2 * 5 + 7v * 5) + 6v 242 = (-10 + 35v) + 6v Combine like terms: 35v + 6v = 41v 242 = -10 + 41v Solving 242 = -10 + 41v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-41v' to each side of the equation. 242 + -41v = -10 + 41v + -41v Combine like terms: 41v + -41v = 0 242 + -41v = -10 + 0 242 + -41v = -10 Add '-242' to each side of the equation. 242 + -242 + -41v = -10 + -242 Combine like terms: 242 + -242 = 0 0 + -41v = -10 + -242 -41v = -10 + -242 Combine like terms: -10 + -242 = -252 -41v = -252 Divide each side by '-41'. v = 6.146341463 Simplifying v = 6.146341463
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