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Simplifying 12(v + 2) + -3v = 3(3v + 4) + -15 Reorder the terms: 12(2 + v) + -3v = 3(3v + 4) + -15 (2 * 12 + v * 12) + -3v = 3(3v + 4) + -15 (24 + 12v) + -3v = 3(3v + 4) + -15 Combine like terms: 12v + -3v = 9v 24 + 9v = 3(3v + 4) + -15 Reorder the terms: 24 + 9v = 3(4 + 3v) + -15 24 + 9v = (4 * 3 + 3v * 3) + -15 24 + 9v = (12 + 9v) + -15 Reorder the terms: 24 + 9v = 12 + -15 + 9v Combine like terms: 12 + -15 = -3 24 + 9v = -3 + 9v Add '-9v' to each side of the equation. 24 + 9v + -9v = -3 + 9v + -9v Combine like terms: 9v + -9v = 0 24 + 0 = -3 + 9v + -9v 24 = -3 + 9v + -9v Combine like terms: 9v + -9v = 0 24 = -3 + 0 24 = -3 Solving 24 = -3 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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