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Simplifying 5 + -2 + 8v = -9 + -4v Combine like terms: 5 + -2 = 3 3 + 8v = -9 + -4v Solving 3 + 8v = -9 + -4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4v' to each side of the equation. 3 + 8v + 4v = -9 + -4v + 4v Combine like terms: 8v + 4v = 12v 3 + 12v = -9 + -4v + 4v Combine like terms: -4v + 4v = 0 3 + 12v = -9 + 0 3 + 12v = -9 Add '-3' to each side of the equation. 3 + -3 + 12v = -9 + -3 Combine like terms: 3 + -3 = 0 0 + 12v = -9 + -3 12v = -9 + -3 Combine like terms: -9 + -3 = -12 12v = -12 Divide each side by '12'. v = -1 Simplifying v = -1
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