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Simplifying -5(v + 2) + 2v + 6 = 8v + 12 Reorder the terms: -5(2 + v) + 2v + 6 = 8v + 12 (2 * -5 + v * -5) + 2v + 6 = 8v + 12 (-10 + -5v) + 2v + 6 = 8v + 12 Reorder the terms: -10 + 6 + -5v + 2v = 8v + 12 Combine like terms: -10 + 6 = -4 -4 + -5v + 2v = 8v + 12 Combine like terms: -5v + 2v = -3v -4 + -3v = 8v + 12 Reorder the terms: -4 + -3v = 12 + 8v Solving -4 + -3v = 12 + 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. -4 + -3v + -8v = 12 + 8v + -8v Combine like terms: -3v + -8v = -11v -4 + -11v = 12 + 8v + -8v Combine like terms: 8v + -8v = 0 -4 + -11v = 12 + 0 -4 + -11v = 12 Add '4' to each side of the equation. -4 + 4 + -11v = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -11v = 12 + 4 -11v = 12 + 4 Combine like terms: 12 + 4 = 16 -11v = 16 Divide each side by '-11'. v = -1.454545455 Simplifying v = -1.454545455
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