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Simplifying 7(v + 2) + -3v = 2(2v + 4) + -14 Reorder the terms: 7(2 + v) + -3v = 2(2v + 4) + -14 (2 * 7 + v * 7) + -3v = 2(2v + 4) + -14 (14 + 7v) + -3v = 2(2v + 4) + -14 Combine like terms: 7v + -3v = 4v 14 + 4v = 2(2v + 4) + -14 Reorder the terms: 14 + 4v = 2(4 + 2v) + -14 14 + 4v = (4 * 2 + 2v * 2) + -14 14 + 4v = (8 + 4v) + -14 Reorder the terms: 14 + 4v = 8 + -14 + 4v Combine like terms: 8 + -14 = -6 14 + 4v = -6 + 4v Add '-4v' to each side of the equation. 14 + 4v + -4v = -6 + 4v + -4v Combine like terms: 4v + -4v = 0 14 + 0 = -6 + 4v + -4v 14 = -6 + 4v + -4v Combine like terms: 4v + -4v = 0 14 = -6 + 0 14 = -6 Solving 14 = -6 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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