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Simplifying 7(v + 2) + -2v = 2(2v + 1) + -11 Reorder the terms: 7(2 + v) + -2v = 2(2v + 1) + -11 (2 * 7 + v * 7) + -2v = 2(2v + 1) + -11 (14 + 7v) + -2v = 2(2v + 1) + -11 Combine like terms: 7v + -2v = 5v 14 + 5v = 2(2v + 1) + -11 Reorder the terms: 14 + 5v = 2(1 + 2v) + -11 14 + 5v = (1 * 2 + 2v * 2) + -11 14 + 5v = (2 + 4v) + -11 Reorder the terms: 14 + 5v = 2 + -11 + 4v Combine like terms: 2 + -11 = -9 14 + 5v = -9 + 4v Solving 14 + 5v = -9 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 14 + 5v + -4v = -9 + 4v + -4v Combine like terms: 5v + -4v = 1v 14 + 1v = -9 + 4v + -4v Combine like terms: 4v + -4v = 0 14 + 1v = -9 + 0 14 + 1v = -9 Add '-14' to each side of the equation. 14 + -14 + 1v = -9 + -14 Combine like terms: 14 + -14 = 0 0 + 1v = -9 + -14 1v = -9 + -14 Combine like terms: -9 + -14 = -23 1v = -23 Divide each side by '1'. v = -23 Simplifying v = -23
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