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Simplifying 9(t + -6) + 3t = 4(3t + 5) + -9 Reorder the terms: 9(-6 + t) + 3t = 4(3t + 5) + -9 (-6 * 9 + t * 9) + 3t = 4(3t + 5) + -9 (-54 + 9t) + 3t = 4(3t + 5) + -9 Combine like terms: 9t + 3t = 12t -54 + 12t = 4(3t + 5) + -9 Reorder the terms: -54 + 12t = 4(5 + 3t) + -9 -54 + 12t = (5 * 4 + 3t * 4) + -9 -54 + 12t = (20 + 12t) + -9 Reorder the terms: -54 + 12t = 20 + -9 + 12t Combine like terms: 20 + -9 = 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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