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Simplifying 9(t + -3) + 3t = 6(2t + 5) + -12 Reorder the terms: 9(-3 + t) + 3t = 6(2t + 5) + -12 (-3 * 9 + t * 9) + 3t = 6(2t + 5) + -12 (-27 + 9t) + 3t = 6(2t + 5) + -12 Combine like terms: 9t + 3t = 12t -27 + 12t = 6(2t + 5) + -12 Reorder the terms: -27 + 12t = 6(5 + 2t) + -12 -27 + 12t = (5 * 6 + 2t * 6) + -12 -27 + 12t = (30 + 12t) + -12 Reorder the terms: -27 + 12t = 30 + -12 + 12t Combine like terms: 30 + -12 = 18 -27 + 12t = 18 + 12t Add '-12t' to each side of the equation. -27 + 12t + -12t = 18 + 12t + -12t Combine like terms: 12t + -12t = 0 -27 + 0 = 18 + 12t + -12t -27 = 18 + 12t + -12t Combine like terms: 12t + -12t = 0 -27 = 18 + 0 -27 = 18 Solving -27 = 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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