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Simplifying 12(v + 1) + -3v = 3(3v + 3) + -14 Reorder the terms: 12(1 + v) + -3v = 3(3v + 3) + -14 (1 * 12 + v * 12) + -3v = 3(3v + 3) + -14 (12 + 12v) + -3v = 3(3v + 3) + -14 Combine like terms: 12v + -3v = 9v 12 + 9v = 3(3v + 3) + -14 Reorder the terms: 12 + 9v = 3(3 + 3v) + -14 12 + 9v = (3 * 3 + 3v * 3) + -14 12 + 9v = (9 + 9v) + -14 Reorder the terms: 12 + 9v = 9 + -14 + 9v Combine like terms: 9 + -14 = -5 12 + 9v = -5 + 9v Add '-9v' to each side of the equation. 12 + 9v + -9v = -5 + 9v + -9v Combine like terms: 9v + -9v = 0 12 + 0 = -5 + 9v + -9v 12 = -5 + 9v + -9v Combine like terms: 9v + -9v = 0 12 = -5 + 0 12 = -5 Solving 12 = -5 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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