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Simplifying 10(t + -6) + 8t = 6(3t + 5) + -13 Reorder the terms: 10(-6 + t) + 8t = 6(3t + 5) + -13 (-6 * 10 + t * 10) + 8t = 6(3t + 5) + -13 (-60 + 10t) + 8t = 6(3t + 5) + -13 Combine like terms: 10t + 8t = 18t -60 + 18t = 6(3t + 5) + -13 Reorder the terms: -60 + 18t = 6(5 + 3t) + -13 -60 + 18t = (5 * 6 + 3t * 6) + -13 -60 + 18t = (30 + 18t) + -13 Reorder the terms: -60 + 18t = 30 + -13 + 18t Combine like terms: 30 + -13 = 17 -60 + 18t = 17 + 18t Add '-18t' to each side of the equation. -60 + 18t + -18t = 17 + 18t + -18t Combine like terms: 18t + -18t = 0 -60 + 0 = 17 + 18t + -18t -60 = 17 + 18t + -18t Combine like terms: 18t + -18t = 0 -60 = 17 + 0 -60 = 17 Solving -60 = 17 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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