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Simplifying 4(9v + 5) = -32 + 6v Reorder the terms: 4(5 + 9v) = -32 + 6v (5 * 4 + 9v * 4) = -32 + 6v (20 + 36v) = -32 + 6v Solving 20 + 36v = -32 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 20 + 36v + -6v = -32 + 6v + -6v Combine like terms: 36v + -6v = 30v 20 + 30v = -32 + 6v + -6v Combine like terms: 6v + -6v = 0 20 + 30v = -32 + 0 20 + 30v = -32 Add '-20' to each side of the equation. 20 + -20 + 30v = -32 + -20 Combine like terms: 20 + -20 = 0 0 + 30v = -32 + -20 30v = -32 + -20 Combine like terms: -32 + -20 = -52 30v = -52 Divide each side by '30'. v = -1.733333333 Simplifying v = -1.733333333
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