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Simplifying -5(v + 4) + 2v + 7 = 8v + 11 Reorder the terms: -5(4 + v) + 2v + 7 = 8v + 11 (4 * -5 + v * -5) + 2v + 7 = 8v + 11 (-20 + -5v) + 2v + 7 = 8v + 11 Reorder the terms: -20 + 7 + -5v + 2v = 8v + 11 Combine like terms: -20 + 7 = -13 -13 + -5v + 2v = 8v + 11 Combine like terms: -5v + 2v = -3v -13 + -3v = 8v + 11 Reorder the terms: -13 + -3v = 11 + 8v Solving -13 + -3v = 11 + 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. -13 + -3v + -8v = 11 + 8v + -8v Combine like terms: -3v + -8v = -11v -13 + -11v = 11 + 8v + -8v Combine like terms: 8v + -8v = 0 -13 + -11v = 11 + 0 -13 + -11v = 11 Add '13' to each side of the equation. -13 + 13 + -11v = 11 + 13 Combine like terms: -13 + 13 = 0 0 + -11v = 11 + 13 -11v = 11 + 13 Combine like terms: 11 + 13 = 24 -11v = 24 Divide each side by '-11'. v = -2.181818182 Simplifying v = -2.181818182
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