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Simplifying 17(T + -7) + 4T = 7(3T + 5) + -10 Reorder the terms: 17(-7 + T) + 4T = 7(3T + 5) + -10 (-7 * 17 + T * 17) + 4T = 7(3T + 5) + -10 (-119 + 17T) + 4T = 7(3T + 5) + -10 Combine like terms: 17T + 4T = 21T -119 + 21T = 7(3T + 5) + -10 Reorder the terms: -119 + 21T = 7(5 + 3T) + -10 -119 + 21T = (5 * 7 + 3T * 7) + -10 -119 + 21T = (35 + 21T) + -10 Reorder the terms: -119 + 21T = 35 + -10 + 21T Combine like terms: 35 + -10 = 25 -119 + 21T = 25 + 21T Add '-21T' to each side of the equation. -119 + 21T + -21T = 25 + 21T + -21T Combine like terms: 21T + -21T = 0 -119 + 0 = 25 + 21T + -21T -119 = 25 + 21T + -21T Combine like terms: 21T + -21T = 0 -119 = 25 + 0 -119 = 25 Solving -119 = 25 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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