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Simplifying 6(v + 2) + -2v = 2(2v + 3) + -7 Reorder the terms: 6(2 + v) + -2v = 2(2v + 3) + -7 (2 * 6 + v * 6) + -2v = 2(2v + 3) + -7 (12 + 6v) + -2v = 2(2v + 3) + -7 Combine like terms: 6v + -2v = 4v 12 + 4v = 2(2v + 3) + -7 Reorder the terms: 12 + 4v = 2(3 + 2v) + -7 12 + 4v = (3 * 2 + 2v * 2) + -7 12 + 4v = (6 + 4v) + -7 Reorder the terms: 12 + 4v = 6 + -7 + 4v Combine like terms: 6 + -7 = -1 12 + 4v = -1 + 4v Add '-4v' to each side of the equation. 12 + 4v + -4v = -1 + 4v + -4v Combine like terms: 4v + -4v = 0 12 + 0 = -1 + 4v + -4v 12 = -1 + 4v + -4v Combine like terms: 4v + -4v = 0 12 = -1 + 0 12 = -1 Solving 12 = -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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