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Simplifying 9(v + 3) + -3v = 3(2v + 1) + -12 Reorder the terms: 9(3 + v) + -3v = 3(2v + 1) + -12 (3 * 9 + v * 9) + -3v = 3(2v + 1) + -12 (27 + 9v) + -3v = 3(2v + 1) + -12 Combine like terms: 9v + -3v = 6v 27 + 6v = 3(2v + 1) + -12 Reorder the terms: 27 + 6v = 3(1 + 2v) + -12 27 + 6v = (1 * 3 + 2v * 3) + -12 27 + 6v = (3 + 6v) + -12 Reorder the terms: 27 + 6v = 3 + -12 + 6v Combine like terms: 3 + -12 = -9 27 + 6v = -9 + 6v Add '-6v' to each side of the equation. 27 + 6v + -6v = -9 + 6v + -6v Combine like terms: 6v + -6v = 0 27 + 0 = -9 + 6v + -6v 27 = -9 + 6v + -6v Combine like terms: 6v + -6v = 0 27 = -9 + 0 27 = -9 Solving 27 = -9 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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