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Simplifying 9(3 + v) + 37v = 10v (3 * 9 + v * 9) + 37v = 10v (27 + 9v) + 37v = 10v Combine like terms: 9v + 37v = 46v 27 + 46v = 10v Solving 27 + 46v = 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. 27 + 46v + -10v = 10v + -10v Combine like terms: 46v + -10v = 36v 27 + 36v = 10v + -10v Combine like terms: 10v + -10v = 0 27 + 36v = 0 Add '-27' to each side of the equation. 27 + -27 + 36v = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 36v = 0 + -27 36v = 0 + -27 Combine like terms: 0 + -27 = -27 36v = -27 Divide each side by '36'. v = -0.75 Simplifying v = -0.75
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