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Simplifying 5(2 + v) + 38v = 10v (2 * 5 + v * 5) + 38v = 10v (10 + 5v) + 38v = 10v Combine like terms: 5v + 38v = 43v 10 + 43v = 10v Solving 10 + 43v = 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. 10 + 43v + -10v = 10v + -10v Combine like terms: 43v + -10v = 33v 10 + 33v = 10v + -10v Combine like terms: 10v + -10v = 0 10 + 33v = 0 Add '-10' to each side of the equation. 10 + -10 + 33v = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 33v = 0 + -10 33v = 0 + -10 Combine like terms: 0 + -10 = -10 33v = -10 Divide each side by '33'. v = -0.303030303 Simplifying v = -0.303030303
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