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Simplifying 6(v + -6) = -8v + 34 Reorder the terms: 6(-6 + v) = -8v + 34 (-6 * 6 + v * 6) = -8v + 34 (-36 + 6v) = -8v + 34 Reorder the terms: -36 + 6v = 34 + -8v Solving -36 + 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. -36 + 6v + 8v = 34 + -8v + 8v Combine like terms: 6v + 8v = 14v -36 + 14v = 34 + -8v + 8v Combine like terms: -8v + 8v = 0 -36 + 14v = 34 + 0 -36 + 14v = 34 Add '36' to each side of the equation. -36 + 36 + 14v = 34 + 36 Combine like terms: -36 + 36 = 0 0 + 14v = 34 + 36 14v = 34 + 36 Combine like terms: 34 + 36 = 70 14v = 70 Divide each side by '14'. v = 5 Simplifying v = 5
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