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Simplifying -9(5v + -4) = 22 + 7v Reorder the terms: -9(-4 + 5v) = 22 + 7v (-4 * -9 + 5v * -9) = 22 + 7v (36 + -45v) = 22 + 7v Solving 36 + -45v = 22 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 36 + -45v + -7v = 22 + 7v + -7v Combine like terms: -45v + -7v = -52v 36 + -52v = 22 + 7v + -7v Combine like terms: 7v + -7v = 0 36 + -52v = 22 + 0 36 + -52v = 22 Add '-36' to each side of the equation. 36 + -36 + -52v = 22 + -36 Combine like terms: 36 + -36 = 0 0 + -52v = 22 + -36 -52v = 22 + -36 Combine like terms: 22 + -36 = -14 -52v = -14 Divide each side by '-52'. v = 0.2692307692 Simplifying v = 0.2692307692
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