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Simplifying 9(t + -2) + 3t = 6(2t + 3) + -13 Reorder the terms: 9(-2 + t) + 3t = 6(2t + 3) + -13 (-2 * 9 + t * 9) + 3t = 6(2t + 3) + -13 (-18 + 9t) + 3t = 6(2t + 3) + -13 Combine like terms: 9t + 3t = 12t -18 + 12t = 6(2t + 3) + -13 Reorder the terms: -18 + 12t = 6(3 + 2t) + -13 -18 + 12t = (3 * 6 + 2t * 6) + -13 -18 + 12t = (18 + 12t) + -13 Reorder the terms: -18 + 12t = 18 + -13 + 12t Combine like terms: 18 + -13 = 5 -18 + 12t = 5 + 12t Add '-12t' to each side of the equation. -18 + 12t + -12t = 5 + 12t + -12t Combine like terms: 12t + -12t = 0 -18 + 0 = 5 + 12t + -12t -18 = 5 + 12t + -12t Combine like terms: 12t + -12t = 0 -18 = 5 + 0 -18 = 5 Solving -18 = 5 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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