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Simplifying 7(T + -2) + 3T = 5(2T + 4) + -10 Reorder the terms: 7(-2 + T) + 3T = 5(2T + 4) + -10 (-2 * 7 + T * 7) + 3T = 5(2T + 4) + -10 (-14 + 7T) + 3T = 5(2T + 4) + -10 Combine like terms: 7T + 3T = 10T -14 + 10T = 5(2T + 4) + -10 Reorder the terms: -14 + 10T = 5(4 + 2T) + -10 -14 + 10T = (4 * 5 + 2T * 5) + -10 -14 + 10T = (20 + 10T) + -10 Reorder the terms: -14 + 10T = 20 + -10 + 10T Combine like terms: 20 + -10 = 10 -14 + 10T = 10 + 10T Add '-10T' to each side of the equation. -14 + 10T + -10T = 10 + 10T + -10T Combine like terms: 10T + -10T = 0 -14 + 0 = 10 + 10T + -10T -14 = 10 + 10T + -10T Combine like terms: 10T + -10T = 0 -14 = 10 + 0 -14 = 10 Solving -14 = 10 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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