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Simplifying 7(v + 2) + -3v = 2(2v + 1) + -3 Reorder the terms: 7(2 + v) + -3v = 2(2v + 1) + -3 (2 * 7 + v * 7) + -3v = 2(2v + 1) + -3 (14 + 7v) + -3v = 2(2v + 1) + -3 Combine like terms: 7v + -3v = 4v 14 + 4v = 2(2v + 1) + -3 Reorder the terms: 14 + 4v = 2(1 + 2v) + -3 14 + 4v = (1 * 2 + 2v * 2) + -3 14 + 4v = (2 + 4v) + -3 Reorder the terms: 14 + 4v = 2 + -3 + 4v Combine like terms: 2 + -3 = -1 14 + 4v = -1 + 4v Add '-4v' to each side of the equation. 14 + 4v + -4v = -1 + 4v + -4v Combine like terms: 4v + -4v = 0 14 + 0 = -1 + 4v + -4v 14 = -1 + 4v + -4v Combine like terms: 4v + -4v = 0 14 = -1 + 0 14 = -1 Solving 14 = -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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