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Simplifying 38 + 2v = 8(1 + -6v) 38 + 2v = (1 * 8 + -6v * 8) 38 + 2v = (8 + -48v) Solving 38 + 2v = 8 + -48v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '48v' to each side of the equation. 38 + 2v + 48v = 8 + -48v + 48v Combine like terms: 2v + 48v = 50v 38 + 50v = 8 + -48v + 48v Combine like terms: -48v + 48v = 0 38 + 50v = 8 + 0 38 + 50v = 8 Add '-38' to each side of the equation. 38 + -38 + 50v = 8 + -38 Combine like terms: 38 + -38 = 0 0 + 50v = 8 + -38 50v = 8 + -38 Combine like terms: 8 + -38 = -30 50v = -30 Divide each side by '50'. v = -0.6 Simplifying v = -0.6
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