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Simplifying 9(4 + v) + 32v = 11v (4 * 9 + v * 9) + 32v = 11v (36 + 9v) + 32v = 11v Combine like terms: 9v + 32v = 41v 36 + 41v = 11v Solving 36 + 41v = 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. 36 + 41v + -11v = 11v + -11v Combine like terms: 41v + -11v = 30v 36 + 30v = 11v + -11v Combine like terms: 11v + -11v = 0 36 + 30v = 0 Add '-36' to each side of the equation. 36 + -36 + 30v = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 30v = 0 + -36 30v = 0 + -36 Combine like terms: 0 + -36 = -36 30v = -36 Divide each side by '30'. v = -1.2 Simplifying v = -1.2
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