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Simplifying 9(t + -5) + 5t = 7(2t + 3) + -9 Reorder the terms: 9(-5 + t) + 5t = 7(2t + 3) + -9 (-5 * 9 + t * 9) + 5t = 7(2t + 3) + -9 (-45 + 9t) + 5t = 7(2t + 3) + -9 Combine like terms: 9t + 5t = 14t -45 + 14t = 7(2t + 3) + -9 Reorder the terms: -45 + 14t = 7(3 + 2t) + -9 -45 + 14t = (3 * 7 + 2t * 7) + -9 -45 + 14t = (21 + 14t) + -9 Reorder the terms: -45 + 14t = 21 + -9 + 14t Combine like terms: 21 + -9 = 12 -45 + 14t = 12 + 14t Add '-14t' to each side of the equation. -45 + 14t + -14t = 12 + 14t + -14t Combine like terms: 14t + -14t = 0 -45 + 0 = 12 + 14t + -14t -45 = 12 + 14t + -14t Combine like terms: 14t + -14t = 0 -45 = 12 + 0 -45 = 12 Solving -45 = 12 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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