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Simplifying 9(t + 3) + 5t = 7(2t + 3) + -8 Reorder the terms: 9(3 + t) + 5t = 7(2t + 3) + -8 (3 * 9 + t * 9) + 5t = 7(2t + 3) + -8 (27 + 9t) + 5t = 7(2t + 3) + -8 Combine like terms: 9t + 5t = 14t 27 + 14t = 7(2t + 3) + -8 Reorder the terms: 27 + 14t = 7(3 + 2t) + -8 27 + 14t = (3 * 7 + 2t * 7) + -8 27 + 14t = (21 + 14t) + -8 Reorder the terms: 27 + 14t = 21 + -8 + 14t Combine like terms: 21 + -8 = 13 27 + 14t = 13 + 14t Add '-14t' to each side of the equation. 27 + 14t + -14t = 13 + 14t + -14t Combine like terms: 14t + -14t = 0 27 + 0 = 13 + 14t + -14t 27 = 13 + 14t + -14t Combine like terms: 14t + -14t = 0 27 = 13 + 0 27 = 13 Solving 27 = 13 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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