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Simplifying -8(v + 2) + 4v + 5 = 5v + 11 Reorder the terms: -8(2 + v) + 4v + 5 = 5v + 11 (2 * -8 + v * -8) + 4v + 5 = 5v + 11 (-16 + -8v) + 4v + 5 = 5v + 11 Reorder the terms: -16 + 5 + -8v + 4v = 5v + 11 Combine like terms: -16 + 5 = -11 -11 + -8v + 4v = 5v + 11 Combine like terms: -8v + 4v = -4v -11 + -4v = 5v + 11 Reorder the terms: -11 + -4v = 11 + 5v Solving -11 + -4v = 11 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. -11 + -4v + -5v = 11 + 5v + -5v Combine like terms: -4v + -5v = -9v -11 + -9v = 11 + 5v + -5v Combine like terms: 5v + -5v = 0 -11 + -9v = 11 + 0 -11 + -9v = 11 Add '11' to each side of the equation. -11 + 11 + -9v = 11 + 11 Combine like terms: -11 + 11 = 0 0 + -9v = 11 + 11 -9v = 11 + 11 Combine like terms: 11 + 11 = 22 -9v = 22 Divide each side by '-9'. v = -2.444444444 Simplifying v = -2.444444444
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