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Simplifying 45 = 7v + -2v Combine like terms: 7v + -2v = 5v 45 = 5v Solving 45 = 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 45 + -5v = 5v + -5v Combine like terms: 5v + -5v = 0 45 + -5v = 0 Add '-45' to each side of the equation. 45 + -45 + -5v = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -5v = 0 + -45 -5v = 0 + -45 Combine like terms: 0 + -45 = -45 -5v = -45 Divide each side by '-5'. v = 9 Simplifying v = 9
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