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Simplifying 8(v + 3) + -2v = 2(3v + 4) + -14 Reorder the terms: 8(3 + v) + -2v = 2(3v + 4) + -14 (3 * 8 + v * 8) + -2v = 2(3v + 4) + -14 (24 + 8v) + -2v = 2(3v + 4) + -14 Combine like terms: 8v + -2v = 6v 24 + 6v = 2(3v + 4) + -14 Reorder the terms: 24 + 6v = 2(4 + 3v) + -14 24 + 6v = (4 * 2 + 3v * 2) + -14 24 + 6v = (8 + 6v) + -14 Reorder the terms: 24 + 6v = 8 + -14 + 6v Combine like terms: 8 + -14 = -6 24 + 6v = -6 + 6v Add '-6v' to each side of the equation. 24 + 6v + -6v = -6 + 6v + -6v Combine like terms: 6v + -6v = 0 24 + 0 = -6 + 6v + -6v 24 = -6 + 6v + -6v Combine like terms: 6v + -6v = 0 24 = -6 + 0 24 = -6 Solving 24 = -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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