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Simplifying 242 = 5(7v + -2) + 6 Reorder the terms: 242 = 5(-2 + 7v) + 6 242 = (-2 * 5 + 7v * 5) + 6 242 = (-10 + 35v) + 6 Reorder the terms: 242 = -10 + 6 + 35v Combine like terms: -10 + 6 = -4 242 = -4 + 35v Solving 242 = -4 + 35v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-35v' to each side of the equation. 242 + -35v = -4 + 35v + -35v Combine like terms: 35v + -35v = 0 242 + -35v = -4 + 0 242 + -35v = -4 Add '-242' to each side of the equation. 242 + -242 + -35v = -4 + -242 Combine like terms: 242 + -242 = 0 0 + -35v = -4 + -242 -35v = -4 + -242 Combine like terms: -4 + -242 = -246 -35v = -246 Divide each side by '-35'. v = 7.028571429 Simplifying v = 7.028571429
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