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Simplifying 30 = -8v + 5(6 + -8v) 30 = -8v + (6 * 5 + -8v * 5) 30 = -8v + (30 + -40v) Reorder the terms: 30 = 30 + -8v + -40v Combine like terms: -8v + -40v = -48v 30 = 30 + -48v Add '-30' to each side of the equation. 30 + -30 = 30 + -30 + -48v Combine like terms: 30 + -30 = 0 0 = 30 + -30 + -48v Combine like terms: 30 + -30 = 0 0 = 0 + -48v 0 = -48v Solving 0 = -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. 0 + 48v = -48v + 48v Remove the zero: 48v = -48v + 48v Combine like terms: -48v + 48v = 0 48v = 0 Divide each side by '48'. v = 0 Simplifying v = 0
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