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Simplifying 12(v + 3) + -3v = 3(3v + 2) + -8 Reorder the terms: 12(3 + v) + -3v = 3(3v + 2) + -8 (3 * 12 + v * 12) + -3v = 3(3v + 2) + -8 (36 + 12v) + -3v = 3(3v + 2) + -8 Combine like terms: 12v + -3v = 9v 36 + 9v = 3(3v + 2) + -8 Reorder the terms: 36 + 9v = 3(2 + 3v) + -8 36 + 9v = (2 * 3 + 3v * 3) + -8 36 + 9v = (6 + 9v) + -8 Reorder the terms: 36 + 9v = 6 + -8 + 9v Combine like terms: 6 + -8 = -2 36 + 9v = -2 + 9v Add '-9v' to each side of the equation. 36 + 9v + -9v = -2 + 9v + -9v Combine like terms: 9v + -9v = 0 36 + 0 = -2 + 9v + -9v 36 = -2 + 9v + -9v Combine like terms: 9v + -9v = 0 36 = -2 + 0 36 = -2 Solving 36 = -2 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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