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Simplifying -115 = 3(-2v + -1) + -8v Reorder the terms: -115 = 3(-1 + -2v) + -8v -115 = (-1 * 3 + -2v * 3) + -8v -115 = (-3 + -6v) + -8v Combine like terms: -6v + -8v = -14v -115 = -3 + -14v Solving -115 = -3 + -14v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '14v' to each side of the equation. -115 + 14v = -3 + -14v + 14v Combine like terms: -14v + 14v = 0 -115 + 14v = -3 + 0 -115 + 14v = -3 Add '115' to each side of the equation. -115 + 115 + 14v = -3 + 115 Combine like terms: -115 + 115 = 0 0 + 14v = -3 + 115 14v = -3 + 115 Combine like terms: -3 + 115 = 112 14v = 112 Divide each side by '14'. v = 8 Simplifying v = 8
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