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Simplifying 13(5 + -9v) = 25 + 7v (5 * 13 + -9v * 13) = 25 + 7v (65 + -117v) = 25 + 7v Solving 65 + -117v = 25 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 65 + -117v + -7v = 25 + 7v + -7v Combine like terms: -117v + -7v = -124v 65 + -124v = 25 + 7v + -7v Combine like terms: 7v + -7v = 0 65 + -124v = 25 + 0 65 + -124v = 25 Add '-65' to each side of the equation. 65 + -65 + -124v = 25 + -65 Combine like terms: 65 + -65 = 0 0 + -124v = 25 + -65 -124v = 25 + -65 Combine like terms: 25 + -65 = -40 -124v = -40 Divide each side by '-124'. v = 0.3225806452 Simplifying v = 0.3225806452
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