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Simplifying 11(v + 3) + -2v = 3(3v + 2) + -7 Reorder the terms: 11(3 + v) + -2v = 3(3v + 2) + -7 (3 * 11 + v * 11) + -2v = 3(3v + 2) + -7 (33 + 11v) + -2v = 3(3v + 2) + -7 Combine like terms: 11v + -2v = 9v 33 + 9v = 3(3v + 2) + -7 Reorder the terms: 33 + 9v = 3(2 + 3v) + -7 33 + 9v = (2 * 3 + 3v * 3) + -7 33 + 9v = (6 + 9v) + -7 Reorder the terms: 33 + 9v = 6 + -7 + 9v Combine like terms: 6 + -7 = -1 33 + 9v = -1 + 9v Add '-9v' to each side of the equation. 33 + 9v + -9v = -1 + 9v + -9v Combine like terms: 9v + -9v = 0 33 + 0 = -1 + 9v + -9v 33 = -1 + 9v + -9v Combine like terms: 9v + -9v = 0 33 = -1 + 0 33 = -1 Solving 33 = -1 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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