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Simplifying 9(t + -3) + 5t = 7(2t + 4) + -10 Reorder the terms: 9(-3 + t) + 5t = 7(2t + 4) + -10 (-3 * 9 + t * 9) + 5t = 7(2t + 4) + -10 (-27 + 9t) + 5t = 7(2t + 4) + -10 Combine like terms: 9t + 5t = 14t -27 + 14t = 7(2t + 4) + -10 Reorder the terms: -27 + 14t = 7(4 + 2t) + -10 -27 + 14t = (4 * 7 + 2t * 7) + -10 -27 + 14t = (28 + 14t) + -10 Reorder the terms: -27 + 14t = 28 + -10 + 14t Combine like terms: 28 + -10 = 18 -27 + 14t = 18 + 14t Add '-14t' to each side of the equation. -27 + 14t + -14t = 18 + 14t + -14t Combine like terms: 14t + -14t = 0 -27 + 0 = 18 + 14t + -14t -27 = 18 + 14t + -14t Combine like terms: 14t + -14t = 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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