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Simplifying 9(2 + v) + 39v = 10v (2 * 9 + v * 9) + 39v = 10v (18 + 9v) + 39v = 10v Combine like terms: 9v + 39v = 48v 18 + 48v = 10v Solving 18 + 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. 18 + 48v + -10v = 10v + -10v Combine like terms: 48v + -10v = 38v 18 + 38v = 10v + -10v Combine like terms: 10v + -10v = 0 18 + 38v = 0 Add '-18' to each side of the equation. 18 + -18 + 38v = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 38v = 0 + -18 38v = 0 + -18 Combine like terms: 0 + -18 = -18 38v = -18 Divide each side by '38'. v = -0.4736842105 Simplifying v = -0.4736842105
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