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Simplifying 5(6v + 9) = -34 Reorder the terms: 5(9 + 6v) = -34 (9 * 5 + 6v * 5) = -34 (45 + 30v) = -34 Solving 45 + 30v = -34 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 30v = -34 + -45 Combine like terms: 45 + -45 = 0 0 + 30v = -34 + -45 30v = -34 + -45 Combine like terms: -34 + -45 = -79 30v = -79 Divide each side by '30'. v = -2.633333333 Simplifying v = -2.633333333
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