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Simplifying 13(t + -3) + 8t = 7(3t + 5) + -11 Reorder the terms: 13(-3 + t) + 8t = 7(3t + 5) + -11 (-3 * 13 + t * 13) + 8t = 7(3t + 5) + -11 (-39 + 13t) + 8t = 7(3t + 5) + -11 Combine like terms: 13t + 8t = 21t -39 + 21t = 7(3t + 5) + -11 Reorder the terms: -39 + 21t = 7(5 + 3t) + -11 -39 + 21t = (5 * 7 + 3t * 7) + -11 -39 + 21t = (35 + 21t) + -11 Reorder the terms: -39 + 21t = 35 + -11 + 21t Combine like terms: 35 + -11 = 24 -39 + 21t = 24 + 21t Add '-21t' to each side of the equation. -39 + 21t + -21t = 24 + 21t + -21t Combine like terms: 21t + -21t = 0 -39 + 0 = 24 + 21t + -21t -39 = 24 + 21t + -21t Combine like terms: 21t + -21t = 0 -39 = 24 + 0 -39 = 24 Solving -39 = 24 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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