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Simplifying 40(v + -5) = 12(22v + 2) Reorder the terms: 40(-5 + v) = 12(22v + 2) (-5 * 40 + v * 40) = 12(22v + 2) (-200 + 40v) = 12(22v + 2) Reorder the terms: -200 + 40v = 12(2 + 22v) -200 + 40v = (2 * 12 + 22v * 12) -200 + 40v = (24 + 264v) Solving -200 + 40v = 24 + 264v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-264v' to each side of the equation. -200 + 40v + -264v = 24 + 264v + -264v Combine like terms: 40v + -264v = -224v -200 + -224v = 24 + 264v + -264v Combine like terms: 264v + -264v = 0 -200 + -224v = 24 + 0 -200 + -224v = 24 Add '200' to each side of the equation. -200 + 200 + -224v = 24 + 200 Combine like terms: -200 + 200 = 0 0 + -224v = 24 + 200 -224v = 24 + 200 Combine like terms: 24 + 200 = 224 -224v = 224 Divide each side by '-224'. v = -1 Simplifying v = -1
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