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Simplifying 9(4v + -5) = 5(5v + 2) Reorder the terms: 9(-5 + 4v) = 5(5v + 2) (-5 * 9 + 4v * 9) = 5(5v + 2) (-45 + 36v) = 5(5v + 2) Reorder the terms: -45 + 36v = 5(2 + 5v) -45 + 36v = (2 * 5 + 5v * 5) -45 + 36v = (10 + 25v) Solving -45 + 36v = 10 + 25v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-25v' to each side of the equation. -45 + 36v + -25v = 10 + 25v + -25v Combine like terms: 36v + -25v = 11v -45 + 11v = 10 + 25v + -25v Combine like terms: 25v + -25v = 0 -45 + 11v = 10 + 0 -45 + 11v = 10 Add '45' to each side of the equation. -45 + 45 + 11v = 10 + 45 Combine like terms: -45 + 45 = 0 0 + 11v = 10 + 45 11v = 10 + 45 Combine like terms: 10 + 45 = 55 11v = 55 Divide each side by '11'. v = 5 Simplifying v = 5
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