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Simplifying -8(3 + -4v) + 8v = 9v + 38 (3 * -8 + -4v * -8) + 8v = 9v + 38 (-24 + 32v) + 8v = 9v + 38 Combine like terms: 32v + 8v = 40v -24 + 40v = 9v + 38 Reorder the terms: -24 + 40v = 38 + 9v Solving -24 + 40v = 38 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. -24 + 40v + -9v = 38 + 9v + -9v Combine like terms: 40v + -9v = 31v -24 + 31v = 38 + 9v + -9v Combine like terms: 9v + -9v = 0 -24 + 31v = 38 + 0 -24 + 31v = 38 Add '24' to each side of the equation. -24 + 24 + 31v = 38 + 24 Combine like terms: -24 + 24 = 0 0 + 31v = 38 + 24 31v = 38 + 24 Combine like terms: 38 + 24 = 62 31v = 62 Divide each side by '31'. v = 2 Simplifying v = 2
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