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Simplifying 2(v + 5) + 7v = 1 Reorder the terms: 2(5 + v) + 7v = 1 (5 * 2 + v * 2) + 7v = 1 (10 + 2v) + 7v = 1 Combine like terms: 2v + 7v = 9v 10 + 9v = 1 Solving 10 + 9v = 1 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 9v = 1 + -10 Combine like terms: 10 + -10 = 0 0 + 9v = 1 + -10 9v = 1 + -10 Combine like terms: 1 + -10 = -9 9v = -9 Divide each side by '9'. v = -1 Simplifying v = -1
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