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Simplifying 32 + -8v = -5(4v + -6) Reorder the terms: 32 + -8v = -5(-6 + 4v) 32 + -8v = (-6 * -5 + 4v * -5) 32 + -8v = (30 + -20v) Solving 32 + -8v = 30 + -20v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '20v' to each side of the equation. 32 + -8v + 20v = 30 + -20v + 20v Combine like terms: -8v + 20v = 12v 32 + 12v = 30 + -20v + 20v Combine like terms: -20v + 20v = 0 32 + 12v = 30 + 0 32 + 12v = 30 Add '-32' to each side of the equation. 32 + -32 + 12v = 30 + -32 Combine like terms: 32 + -32 = 0 0 + 12v = 30 + -32 12v = 30 + -32 Combine like terms: 30 + -32 = -2 12v = -2 Divide each side by '12'. v = -0.1666666667 Simplifying v = -0.1666666667
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