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Simplifying 9(t + -6) + 3t = 6(2t + 4) + -13 Reorder the terms: 9(-6 + t) + 3t = 6(2t + 4) + -13 (-6 * 9 + t * 9) + 3t = 6(2t + 4) + -13 (-54 + 9t) + 3t = 6(2t + 4) + -13 Combine like terms: 9t + 3t = 12t -54 + 12t = 6(2t + 4) + -13 Reorder the terms: -54 + 12t = 6(4 + 2t) + -13 -54 + 12t = (4 * 6 + 2t * 6) + -13 -54 + 12t = (24 + 12t) + -13 Reorder the terms: -54 + 12t = 24 + -13 + 12t Combine like terms: 24 + -13 = 11 -54 + 12t = 11 + 12t Add '-12t' to each side of the equation. -54 + 12t + -12t = 11 + 12t + -12t Combine like terms: 12t + -12t = 0 -54 + 0 = 11 + 12t + -12t -54 = 11 + 12t + -12t Combine like terms: 12t + -12t = 0 -54 = 11 + 0 -54 = 11 Solving -54 = 11 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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