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Simplifying 3v + -11 = 3(8 + -2v) + -8 Reorder the terms: -11 + 3v = 3(8 + -2v) + -8 -11 + 3v = (8 * 3 + -2v * 3) + -8 -11 + 3v = (24 + -6v) + -8 Reorder the terms: -11 + 3v = 24 + -8 + -6v Combine like terms: 24 + -8 = 16 -11 + 3v = 16 + -6v Solving -11 + 3v = 16 + -6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '6v' to each side of the equation. -11 + 3v + 6v = 16 + -6v + 6v Combine like terms: 3v + 6v = 9v -11 + 9v = 16 + -6v + 6v Combine like terms: -6v + 6v = 0 -11 + 9v = 16 + 0 -11 + 9v = 16 Add '11' to each side of the equation. -11 + 11 + 9v = 16 + 11 Combine like terms: -11 + 11 = 0 0 + 9v = 16 + 11 9v = 16 + 11 Combine like terms: 16 + 11 = 27 9v = 27 Divide each side by '9'. v = 3 Simplifying v = 3
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