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Simplifying 2v + 8 = -4[v + -5] Reorder the terms: 8 + 2v = -4[v + -5] Reorder the terms: 8 + 2v = -4[-5 + v] 8 + 2v = [-5 * -4 + v * -4] 8 + 2v = [20 + -4v] Solving 8 + 2v = 20 + -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. 8 + 2v + 4v = 20 + -4v + 4v Combine like terms: 2v + 4v = 6v 8 + 6v = 20 + -4v + 4v Combine like terms: -4v + 4v = 0 8 + 6v = 20 + 0 8 + 6v = 20 Add '-8' to each side of the equation. 8 + -8 + 6v = 20 + -8 Combine like terms: 8 + -8 = 0 0 + 6v = 20 + -8 6v = 20 + -8 Combine like terms: 20 + -8 = 12 6v = 12 Divide each side by '6'. v = 2 Simplifying v = 2
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