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Simplifying -8(v + 4) + 3v + 5 = 6v + 12 Reorder the terms: -8(4 + v) + 3v + 5 = 6v + 12 (4 * -8 + v * -8) + 3v + 5 = 6v + 12 (-32 + -8v) + 3v + 5 = 6v + 12 Reorder the terms: -32 + 5 + -8v + 3v = 6v + 12 Combine like terms: -32 + 5 = -27 -27 + -8v + 3v = 6v + 12 Combine like terms: -8v + 3v = -5v -27 + -5v = 6v + 12 Reorder the terms: -27 + -5v = 12 + 6v Solving -27 + -5v = 12 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. -27 + -5v + -6v = 12 + 6v + -6v Combine like terms: -5v + -6v = -11v -27 + -11v = 12 + 6v + -6v Combine like terms: 6v + -6v = 0 -27 + -11v = 12 + 0 -27 + -11v = 12 Add '27' to each side of the equation. -27 + 27 + -11v = 12 + 27 Combine like terms: -27 + 27 = 0 0 + -11v = 12 + 27 -11v = 12 + 27 Combine like terms: 12 + 27 = 39 -11v = 39 Divide each side by '-11'. v = -3.545454545 Simplifying v = -3.545454545
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