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Simplifying 6(v + 1) + -2v = 2(2v + 4) + -12 Reorder the terms: 6(1 + v) + -2v = 2(2v + 4) + -12 (1 * 6 + v * 6) + -2v = 2(2v + 4) + -12 (6 + 6v) + -2v = 2(2v + 4) + -12 Combine like terms: 6v + -2v = 4v 6 + 4v = 2(2v + 4) + -12 Reorder the terms: 6 + 4v = 2(4 + 2v) + -12 6 + 4v = (4 * 2 + 2v * 2) + -12 6 + 4v = (8 + 4v) + -12 Reorder the terms: 6 + 4v = 8 + -12 + 4v Combine like terms: 8 + -12 = -4 6 + 4v = -4 + 4v Add '-4v' to each side of the equation. 6 + 4v + -4v = -4 + 4v + -4v Combine like terms: 4v + -4v = 0 6 + 0 = -4 + 4v + -4v 6 = -4 + 4v + -4v Combine like terms: 4v + -4v = 0 6 = -4 + 0 6 = -4 Solving 6 = -4 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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