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Simplifying 41v + -33 = 42v + -97 Reorder the terms: -33 + 41v = 42v + -97 Reorder the terms: -33 + 41v = -97 + 42v Solving -33 + 41v = -97 + 42v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-42v' to each side of the equation. -33 + 41v + -42v = -97 + 42v + -42v Combine like terms: 41v + -42v = -1v -33 + -1v = -97 + 42v + -42v Combine like terms: 42v + -42v = 0 -33 + -1v = -97 + 0 -33 + -1v = -97 Add '33' to each side of the equation. -33 + 33 + -1v = -97 + 33 Combine like terms: -33 + 33 = 0 0 + -1v = -97 + 33 -1v = -97 + 33 Combine like terms: -97 + 33 = -64 -1v = -64 Divide each side by '-1'. v = 64 Simplifying v = 64
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