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Simplifying 9(v + 1) + -3v = 2(3v + 4) + -14 Reorder the terms: 9(1 + v) + -3v = 2(3v + 4) + -14 (1 * 9 + v * 9) + -3v = 2(3v + 4) + -14 (9 + 9v) + -3v = 2(3v + 4) + -14 Combine like terms: 9v + -3v = 6v 9 + 6v = 2(3v + 4) + -14 Reorder the terms: 9 + 6v = 2(4 + 3v) + -14 9 + 6v = (4 * 2 + 3v * 2) + -14 9 + 6v = (8 + 6v) + -14 Reorder the terms: 9 + 6v = 8 + -14 + 6v Combine like terms: 8 + -14 = -6 9 + 6v = -6 + 6v Add '-6v' to each side of the equation. 9 + 6v + -6v = -6 + 6v + -6v Combine like terms: 6v + -6v = 0 9 + 0 = -6 + 6v + -6v 9 = -6 + 6v + -6v Combine like terms: 6v + -6v = 0 9 = -6 + 0 9 = -6 Solving 9 = -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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