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Simplifying -6(v + 4) + 2v + 5 = 7v + 11 Reorder the terms: -6(4 + v) + 2v + 5 = 7v + 11 (4 * -6 + v * -6) + 2v + 5 = 7v + 11 (-24 + -6v) + 2v + 5 = 7v + 11 Reorder the terms: -24 + 5 + -6v + 2v = 7v + 11 Combine like terms: -24 + 5 = -19 -19 + -6v + 2v = 7v + 11 Combine like terms: -6v + 2v = -4v -19 + -4v = 7v + 11 Reorder the terms: -19 + -4v = 11 + 7v Solving -19 + -4v = 11 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -19 + -4v + -7v = 11 + 7v + -7v Combine like terms: -4v + -7v = -11v -19 + -11v = 11 + 7v + -7v Combine like terms: 7v + -7v = 0 -19 + -11v = 11 + 0 -19 + -11v = 11 Add '19' to each side of the equation. -19 + 19 + -11v = 11 + 19 Combine like terms: -19 + 19 = 0 0 + -11v = 11 + 19 -11v = 11 + 19 Combine like terms: 11 + 19 = 30 -11v = 30 Divide each side by '-11'. v = -2.727272727 Simplifying v = -2.727272727
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