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Simplifying -8(v + 3) + 2v + 5 = 8v + 12 Reorder the terms: -8(3 + v) + 2v + 5 = 8v + 12 (3 * -8 + v * -8) + 2v + 5 = 8v + 12 (-24 + -8v) + 2v + 5 = 8v + 12 Reorder the terms: -24 + 5 + -8v + 2v = 8v + 12 Combine like terms: -24 + 5 = -19 -19 + -8v + 2v = 8v + 12 Combine like terms: -8v + 2v = -6v -19 + -6v = 8v + 12 Reorder the terms: -19 + -6v = 12 + 8v Solving -19 + -6v = 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. -19 + -6v + -8v = 12 + 8v + -8v Combine like terms: -6v + -8v = -14v -19 + -14v = 12 + 8v + -8v Combine like terms: 8v + -8v = 0 -19 + -14v = 12 + 0 -19 + -14v = 12 Add '19' to each side of the equation. -19 + 19 + -14v = 12 + 19 Combine like terms: -19 + 19 = 0 0 + -14v = 12 + 19 -14v = 12 + 19 Combine like terms: 12 + 19 = 31 -14v = 31 Divide each side by '-14'. v = -2.214285714 Simplifying v = -2.214285714
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