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Simplifying -3v + 11 = -8v + 51 Reorder the terms: 11 + -3v = -8v + 51 Reorder the terms: 11 + -3v = 51 + -8v Solving 11 + -3v = 51 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. 11 + -3v + 8v = 51 + -8v + 8v Combine like terms: -3v + 8v = 5v 11 + 5v = 51 + -8v + 8v Combine like terms: -8v + 8v = 0 11 + 5v = 51 + 0 11 + 5v = 51 Add '-11' to each side of the equation. 11 + -11 + 5v = 51 + -11 Combine like terms: 11 + -11 = 0 0 + 5v = 51 + -11 5v = 51 + -11 Combine like terms: 51 + -11 = 40 5v = 40 Divide each side by '5'. v = 8 Simplifying v = 8
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