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Simplifying 13(t + -4) + 8t = 7(3t + 2) + -13 Reorder the terms: 13(-4 + t) + 8t = 7(3t + 2) + -13 (-4 * 13 + t * 13) + 8t = 7(3t + 2) + -13 (-52 + 13t) + 8t = 7(3t + 2) + -13 Combine like terms: 13t + 8t = 21t -52 + 21t = 7(3t + 2) + -13 Reorder the terms: -52 + 21t = 7(2 + 3t) + -13 -52 + 21t = (2 * 7 + 3t * 7) + -13 -52 + 21t = (14 + 21t) + -13 Reorder the terms: -52 + 21t = 14 + -13 + 21t Combine like terms: 14 + -13 = 1 -52 + 21t = 1 + 21t Add '-21t' to each side of the equation. -52 + 21t + -21t = 1 + 21t + -21t Combine like terms: 21t + -21t = 0 -52 + 0 = 1 + 21t + -21t -52 = 1 + 21t + -21t Combine like terms: 21t + -21t = 0 -52 = 1 + 0 -52 = 1 Solving -52 = 1 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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