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Simplifying 13(t + -2) + 8t = 7(3t + 4) + -12 Reorder the terms: 13(-2 + t) + 8t = 7(3t + 4) + -12 (-2 * 13 + t * 13) + 8t = 7(3t + 4) + -12 (-26 + 13t) + 8t = 7(3t + 4) + -12 Combine like terms: 13t + 8t = 21t -26 + 21t = 7(3t + 4) + -12 Reorder the terms: -26 + 21t = 7(4 + 3t) + -12 -26 + 21t = (4 * 7 + 3t * 7) + -12 -26 + 21t = (28 + 21t) + -12 Reorder the terms: -26 + 21t = 28 + -12 + 21t Combine like terms: 28 + -12 = 16 -26 + 21t = 16 + 21t Add '-21t' to each side of the equation. -26 + 21t + -21t = 16 + 21t + -21t Combine like terms: 21t + -21t = 0 -26 + 0 = 16 + 21t + -21t -26 = 16 + 21t + -21t Combine like terms: 21t + -21t = 0 -26 = 16 + 0 -26 = 16 Solving -26 = 16 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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