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Simplifying 9(4 + v) + 39v = 10v (4 * 9 + v * 9) + 39v = 10v (36 + 9v) + 39v = 10v Combine like terms: 9v + 39v = 48v 36 + 48v = 10v Solving 36 + 48v = 10v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10v' to each side of the equation. 36 + 48v + -10v = 10v + -10v Combine like terms: 48v + -10v = 38v 36 + 38v = 10v + -10v Combine like terms: 10v + -10v = 0 36 + 38v = 0 Add '-36' to each side of the equation. 36 + -36 + 38v = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 38v = 0 + -36 38v = 0 + -36 Combine like terms: 0 + -36 = -36 38v = -36 Divide each side by '38'. v = -0.9473684211 Simplifying v = -0.9473684211
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