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Simplifying v + 213 = -5v + -27 Reorder the terms: 213 + v = -5v + -27 Reorder the terms: 213 + v = -27 + -5v Solving 213 + v = -27 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 213 + v + 5v = -27 + -5v + 5v Combine like terms: v + 5v = 6v 213 + 6v = -27 + -5v + 5v Combine like terms: -5v + 5v = 0 213 + 6v = -27 + 0 213 + 6v = -27 Add '-213' to each side of the equation. 213 + -213 + 6v = -27 + -213 Combine like terms: 213 + -213 = 0 0 + 6v = -27 + -213 6v = -27 + -213 Combine like terms: -27 + -213 = -240 6v = -240 Divide each side by '6'. v = -40 Simplifying v = -40
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