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Simplifying -6(v + 1) = 8v + -34 Reorder the terms: -6(1 + v) = 8v + -34 (1 * -6 + v * -6) = 8v + -34 (-6 + -6v) = 8v + -34 Reorder the terms: -6 + -6v = -34 + 8v Solving -6 + -6v = -34 + 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. -6 + -6v + -8v = -34 + 8v + -8v Combine like terms: -6v + -8v = -14v -6 + -14v = -34 + 8v + -8v Combine like terms: 8v + -8v = 0 -6 + -14v = -34 + 0 -6 + -14v = -34 Add '6' to each side of the equation. -6 + 6 + -14v = -34 + 6 Combine like terms: -6 + 6 = 0 0 + -14v = -34 + 6 -14v = -34 + 6 Combine like terms: -34 + 6 = -28 -14v = -28 Divide each side by '-14'. v = 2 Simplifying v = 2
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