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Simplifying 7(T + -5) + 5T = 6(2T + 4) + -10 Reorder the terms: 7(-5 + T) + 5T = 6(2T + 4) + -10 (-5 * 7 + T * 7) + 5T = 6(2T + 4) + -10 (-35 + 7T) + 5T = 6(2T + 4) + -10 Combine like terms: 7T + 5T = 12T -35 + 12T = 6(2T + 4) + -10 Reorder the terms: -35 + 12T = 6(4 + 2T) + -10 -35 + 12T = (4 * 6 + 2T * 6) + -10 -35 + 12T = (24 + 12T) + -10 Reorder the terms: -35 + 12T = 24 + -10 + 12T Combine like terms: 24 + -10 = 14 -35 + 12T = 14 + 12T Add '-12T' to each side of the equation. -35 + 12T + -12T = 14 + 12T + -12T Combine like terms: 12T + -12T = 0 -35 + 0 = 14 + 12T + -12T -35 = 14 + 12T + -12T Combine like terms: 12T + -12T = 0 -35 = 14 + 0 -35 = 14 Solving -35 = 14 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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