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Simplifying 45 = 10v + -1v Combine like terms: 10v + -1v = 9v 45 = 9v Solving 45 = 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 45 + -9v = 9v + -9v Combine like terms: 9v + -9v = 0 45 + -9v = 0 Add '-45' to each side of the equation. 45 + -45 + -9v = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -9v = 0 + -45 -9v = 0 + -45 Combine like terms: 0 + -45 = -45 -9v = -45 Divide each side by '-9'. v = 5 Simplifying v = 5
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