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Simplifying 9(4v + -6) = -22 + -5v Reorder the terms: 9(-6 + 4v) = -22 + -5v (-6 * 9 + 4v * 9) = -22 + -5v (-54 + 36v) = -22 + -5v Solving -54 + 36v = -22 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. -54 + 36v + 5v = -22 + -5v + 5v Combine like terms: 36v + 5v = 41v -54 + 41v = -22 + -5v + 5v Combine like terms: -5v + 5v = 0 -54 + 41v = -22 + 0 -54 + 41v = -22 Add '54' to each side of the equation. -54 + 54 + 41v = -22 + 54 Combine like terms: -54 + 54 = 0 0 + 41v = -22 + 54 41v = -22 + 54 Combine like terms: -22 + 54 = 32 41v = 32 Divide each side by '41'. v = 0.7804878049 Simplifying v = 0.7804878049
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