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Simplifying 5(45 + -1v) + 7v = 243 (45 * 5 + -1v * 5) + 7v = 243 (225 + -5v) + 7v = 243 Combine like terms: -5v + 7v = 2v 225 + 2v = 243 Solving 225 + 2v = 243 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-225' to each side of the equation. 225 + -225 + 2v = 243 + -225 Combine like terms: 225 + -225 = 0 0 + 2v = 243 + -225 2v = 243 + -225 Combine like terms: 243 + -225 = 18 2v = 18 Divide each side by '2'. v = 9 Simplifying v = 9
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