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Simplifying 9(T + -4) + 5T = 7(2T + 2) + -12 Reorder the terms: 9(-4 + T) + 5T = 7(2T + 2) + -12 (-4 * 9 + T * 9) + 5T = 7(2T + 2) + -12 (-36 + 9T) + 5T = 7(2T + 2) + -12 Combine like terms: 9T + 5T = 14T -36 + 14T = 7(2T + 2) + -12 Reorder the terms: -36 + 14T = 7(2 + 2T) + -12 -36 + 14T = (2 * 7 + 2T * 7) + -12 -36 + 14T = (14 + 14T) + -12 Reorder the terms: -36 + 14T = 14 + -12 + 14T Combine like terms: 14 + -12 = 2 -36 + 14T = 2 + 14T Add '-14T' to each side of the equation. -36 + 14T + -14T = 2 + 14T + -14T Combine like terms: 14T + -14T = 0 -36 + 0 = 2 + 14T + -14T -36 = 2 + 14T + -14T Combine like terms: 14T + -14T = 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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