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Simplifying -30 = 8v + 6(v + 2) Reorder the terms: -30 = 8v + 6(2 + v) -30 = 8v + (2 * 6 + v * 6) -30 = 8v + (12 + 6v) Reorder the terms: -30 = 12 + 8v + 6v Combine like terms: 8v + 6v = 14v -30 = 12 + 14v Solving -30 = 12 + 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. -30 + -14v = 12 + 14v + -14v Combine like terms: 14v + -14v = 0 -30 + -14v = 12 + 0 -30 + -14v = 12 Add '30' to each side of the equation. -30 + 30 + -14v = 12 + 30 Combine like terms: -30 + 30 = 0 0 + -14v = 12 + 30 -14v = 12 + 30 Combine like terms: 12 + 30 = 42 -14v = 42 Divide each side by '-14'. v = -3 Simplifying v = -3
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