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Simplifying -6v + -11 = 4(-2v + 6) + -1 Reorder the terms: -11 + -6v = 4(-2v + 6) + -1 Reorder the terms: -11 + -6v = 4(6 + -2v) + -1 -11 + -6v = (6 * 4 + -2v * 4) + -1 -11 + -6v = (24 + -8v) + -1 Reorder the terms: -11 + -6v = 24 + -1 + -8v Combine like terms: 24 + -1 = 23 -11 + -6v = 23 + -8v Solving -11 + -6v = 23 + -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 + -6v + 8v = 23 + -8v + 8v Combine like terms: -6v + 8v = 2v -11 + 2v = 23 + -8v + 8v Combine like terms: -8v + 8v = 0 -11 + 2v = 23 + 0 -11 + 2v = 23 Add '11' to each side of the equation. -11 + 11 + 2v = 23 + 11 Combine like terms: -11 + 11 = 0 0 + 2v = 23 + 11 2v = 23 + 11 Combine like terms: 23 + 11 = 34 2v = 34 Divide each side by '2'. v = 17 Simplifying v = 17
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