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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 = -29v 242 = 10 + -29v Solving 242 = 10 + -29v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '29v' to each side of the equation. 242 + 29v = 10 + -29v + 29v Combine like terms: -29v + 29v = 0 242 + 29v = 10 + 0 242 + 29v = 10 Add '-242' to each side of the equation. 242 + -242 + 29v = 10 + -242 Combine like terms: 242 + -242 = 0 0 + 29v = 10 + -242 29v = 10 + -242 Combine like terms: 10 + -242 = -232 29v = -232 Divide each side by '29'. v = -8 Simplifying v = -8
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