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Simplifying -9(4v + -5) = 17 + 3v Reorder the terms: -9(-5 + 4v) = 17 + 3v (-5 * -9 + 4v * -9) = 17 + 3v (45 + -36v) = 17 + 3v Solving 45 + -36v = 17 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 45 + -36v + -3v = 17 + 3v + -3v Combine like terms: -36v + -3v = -39v 45 + -39v = 17 + 3v + -3v Combine like terms: 3v + -3v = 0 45 + -39v = 17 + 0 45 + -39v = 17 Add '-45' to each side of the equation. 45 + -45 + -39v = 17 + -45 Combine like terms: 45 + -45 = 0 0 + -39v = 17 + -45 -39v = 17 + -45 Combine like terms: 17 + -45 = -28 -39v = -28 Divide each side by '-39'. v = 0.7179487179 Simplifying v = 0.7179487179
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