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Simplifying -8(v + 2) + 2v + 5 = 5v + 7 Reorder the terms: -8(2 + v) + 2v + 5 = 5v + 7 (2 * -8 + v * -8) + 2v + 5 = 5v + 7 (-16 + -8v) + 2v + 5 = 5v + 7 Reorder the terms: -16 + 5 + -8v + 2v = 5v + 7 Combine like terms: -16 + 5 = -11 -11 + -8v + 2v = 5v + 7 Combine like terms: -8v + 2v = -6v -11 + -6v = 5v + 7 Reorder the terms: -11 + -6v = 7 + 5v Solving -11 + -6v = 7 + 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 + -6v + -5v = 7 + 5v + -5v Combine like terms: -6v + -5v = -11v -11 + -11v = 7 + 5v + -5v Combine like terms: 5v + -5v = 0 -11 + -11v = 7 + 0 -11 + -11v = 7 Add '11' to each side of the equation. -11 + 11 + -11v = 7 + 11 Combine like terms: -11 + 11 = 0 0 + -11v = 7 + 11 -11v = 7 + 11 Combine like terms: 7 + 11 = 18 -11v = 18 Divide each side by '-11'. v = -1.636363636 Simplifying v = -1.636363636
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