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Simplifying 13(t + -3) + 5t = 6(3t + 5) + -12 Reorder the terms: 13(-3 + t) + 5t = 6(3t + 5) + -12 (-3 * 13 + t * 13) + 5t = 6(3t + 5) + -12 (-39 + 13t) + 5t = 6(3t + 5) + -12 Combine like terms: 13t + 5t = 18t -39 + 18t = 6(3t + 5) + -12 Reorder the terms: -39 + 18t = 6(5 + 3t) + -12 -39 + 18t = (5 * 6 + 3t * 6) + -12 -39 + 18t = (30 + 18t) + -12 Reorder the terms: -39 + 18t = 30 + -12 + 18t Combine like terms: 30 + -12 = 18 -39 + 18t = 18 + 18t Add '-18t' to each side of the equation. -39 + 18t + -18t = 18 + 18t + -18t Combine like terms: 18t + -18t = 0 -39 + 0 = 18 + 18t + -18t -39 = 18 + 18t + -18t Combine like terms: 18t + -18t = 0 -39 = 18 + 0 -39 = 18 Solving -39 = 18 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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