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Simplifying 9(t + -6) + 5t = 7(2t + 5) + -9 Reorder the terms: 9(-6 + t) + 5t = 7(2t + 5) + -9 (-6 * 9 + t * 9) + 5t = 7(2t + 5) + -9 (-54 + 9t) + 5t = 7(2t + 5) + -9 Combine like terms: 9t + 5t = 14t -54 + 14t = 7(2t + 5) + -9 Reorder the terms: -54 + 14t = 7(5 + 2t) + -9 -54 + 14t = (5 * 7 + 2t * 7) + -9 -54 + 14t = (35 + 14t) + -9 Reorder the terms: -54 + 14t = 35 + -9 + 14t Combine like terms: 35 + -9 = 26 -54 + 14t = 26 + 14t Add '-14t' to each side of the equation. -54 + 14t + -14t = 26 + 14t + -14t Combine like terms: 14t + -14t = 0 -54 + 0 = 26 + 14t + -14t -54 = 26 + 14t + -14t Combine like terms: 14t + -14t = 0 -54 = 26 + 0 -54 = 26 Solving -54 = 26 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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