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Simplifying -8(3 + -4v) + 8 = 9v + 38 (3 * -8 + -4v * -8) + 8 = 9v + 38 (-24 + 32v) + 8 = 9v + 38 Reorder the terms: -24 + 8 + 32v = 9v + 38 Combine like terms: -24 + 8 = -16 -16 + 32v = 9v + 38 Reorder the terms: -16 + 32v = 38 + 9v Solving -16 + 32v = 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. -16 + 32v + -9v = 38 + 9v + -9v Combine like terms: 32v + -9v = 23v -16 + 23v = 38 + 9v + -9v Combine like terms: 9v + -9v = 0 -16 + 23v = 38 + 0 -16 + 23v = 38 Add '16' to each side of the equation. -16 + 16 + 23v = 38 + 16 Combine like terms: -16 + 16 = 0 0 + 23v = 38 + 16 23v = 38 + 16 Combine like terms: 38 + 16 = 54 23v = 54 Divide each side by '23'. v = 2.347826087 Simplifying v = 2.347826087
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