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Simplifying 7(v + 1) + -3v = 2(2v + 3) + -11 Reorder the terms: 7(1 + v) + -3v = 2(2v + 3) + -11 (1 * 7 + v * 7) + -3v = 2(2v + 3) + -11 (7 + 7v) + -3v = 2(2v + 3) + -11 Combine like terms: 7v + -3v = 4v 7 + 4v = 2(2v + 3) + -11 Reorder the terms: 7 + 4v = 2(3 + 2v) + -11 7 + 4v = (3 * 2 + 2v * 2) + -11 7 + 4v = (6 + 4v) + -11 Reorder the terms: 7 + 4v = 6 + -11 + 4v Combine like terms: 6 + -11 = -5 7 + 4v = -5 + 4v Add '-4v' to each side of the equation. 7 + 4v + -4v = -5 + 4v + -4v Combine like terms: 4v + -4v = 0 7 + 0 = -5 + 4v + -4v 7 = -5 + 4v + -4v Combine like terms: 4v + -4v = 0 7 = -5 + 0 7 = -5 Solving 7 = -5 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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