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Simplifying 7(1 + 7v) + -1v = 103 (1 * 7 + 7v * 7) + -1v = 103 (7 + 49v) + -1v = 103 Combine like terms: 49v + -1v = 48v 7 + 48v = 103 Solving 7 + 48v = 103 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 48v = 103 + -7 Combine like terms: 7 + -7 = 0 0 + 48v = 103 + -7 48v = 103 + -7 Combine like terms: 103 + -7 = 96 48v = 96 Divide each side by '48'. v = 2 Simplifying v = 2
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