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Simplifying 9(T + -2) + 3T = 6(2T + 5) + -12 Reorder the terms: 9(-2 + T) + 3T = 6(2T + 5) + -12 (-2 * 9 + T * 9) + 3T = 6(2T + 5) + -12 (-18 + 9T) + 3T = 6(2T + 5) + -12 Combine like terms: 9T + 3T = 12T -18 + 12T = 6(2T + 5) + -12 Reorder the terms: -18 + 12T = 6(5 + 2T) + -12 -18 + 12T = (5 * 6 + 2T * 6) + -12 -18 + 12T = (30 + 12T) + -12 Reorder the terms: -18 + 12T = 30 + -12 + 12T Combine like terms: 30 + -12 = 18 -18 + 12T = 18 + 12T Add '-12T' to each side of the equation. -18 + 12T + -12T = 18 + 12T + -12T Combine like terms: 12T + -12T = 0 -18 + 0 = 18 + 12T + -12T -18 = 18 + 12T + -12T Combine like terms: 12T + -12T = 0 -18 = 18 + 0 -18 = 18 Solving -18 = 18 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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