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Simplifying 11(v + 1) + -2v = 3(3V + 2) + -7 Reorder the terms: 11(1 + v) + -2v = 3(3V + 2) + -7 (1 * 11 + v * 11) + -2v = 3(3V + 2) + -7 (11 + 11v) + -2v = 3(3V + 2) + -7 Combine like terms: 11v + -2v = 9v 11 + 9v = 3(3V + 2) + -7 Reorder the terms: 11 + 9v = 3(2 + 3V) + -7 11 + 9v = (2 * 3 + 3V * 3) + -7 11 + 9v = (6 + 9V) + -7 Reorder the terms: 11 + 9v = 6 + -7 + 9V Combine like terms: 6 + -7 = -1 11 + 9v = -1 + 9V Solving 11 + 9v = -1 + 9V Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 9v = -1 + -11 + 9V Combine like terms: 11 + -11 = 0 0 + 9v = -1 + -11 + 9V 9v = -1 + -11 + 9V Combine like terms: -1 + -11 = -12 9v = -12 + 9V Divide each side by '9'. v = -1.333333333 + V Simplifying v = -1.333333333 + V
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