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Simplifying 13(t + -5) + 8t = 7(3t + 5) + -8 Reorder the terms: 13(-5 + t) + 8t = 7(3t + 5) + -8 (-5 * 13 + t * 13) + 8t = 7(3t + 5) + -8 (-65 + 13t) + 8t = 7(3t + 5) + -8 Combine like terms: 13t + 8t = 21t -65 + 21t = 7(3t + 5) + -8 Reorder the terms: -65 + 21t = 7(5 + 3t) + -8 -65 + 21t = (5 * 7 + 3t * 7) + -8 -65 + 21t = (35 + 21t) + -8 Reorder the terms: -65 + 21t = 35 + -8 + 21t Combine like terms: 35 + -8 = 27 -65 + 21t = 27 + 21t Add '-21t' to each side of the equation. -65 + 21t + -21t = 27 + 21t + -21t Combine like terms: 21t + -21t = 0 -65 + 0 = 27 + 21t + -21t -65 = 27 + 21t + -21t Combine like terms: 21t + -21t = 0 -65 = 27 + 0 -65 = 27 Solving -65 = 27 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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