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Simplifying 6(T + -5) + 4T = 5(2T + 5) + -11 Reorder the terms: 6(-5 + T) + 4T = 5(2T + 5) + -11 (-5 * 6 + T * 6) + 4T = 5(2T + 5) + -11 (-30 + 6T) + 4T = 5(2T + 5) + -11 Combine like terms: 6T + 4T = 10T -30 + 10T = 5(2T + 5) + -11 Reorder the terms: -30 + 10T = 5(5 + 2T) + -11 -30 + 10T = (5 * 5 + 2T * 5) + -11 -30 + 10T = (25 + 10T) + -11 Reorder the terms: -30 + 10T = 25 + -11 + 10T Combine like terms: 25 + -11 = 14 -30 + 10T = 14 + 10T Add '-10T' to each side of the equation. -30 + 10T + -10T = 14 + 10T + -10T Combine like terms: 10T + -10T = 0 -30 + 0 = 14 + 10T + -10T -30 = 14 + 10T + -10T Combine like terms: 10T + -10T = 0 -30 = 14 + 0 -30 = 14 Solving -30 = 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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