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Simplifying 6(t + -5) + 8t = 7(2t + 4) + -11 Reorder the terms: 6(-5 + t) + 8t = 7(2t + 4) + -11 (-5 * 6 + t * 6) + 8t = 7(2t + 4) + -11 (-30 + 6t) + 8t = 7(2t + 4) + -11 Combine like terms: 6t + 8t = 14t -30 + 14t = 7(2t + 4) + -11 Reorder the terms: -30 + 14t = 7(4 + 2t) + -11 -30 + 14t = (4 * 7 + 2t * 7) + -11 -30 + 14t = (28 + 14t) + -11 Reorder the terms: -30 + 14t = 28 + -11 + 14t Combine like terms: 28 + -11 = 17 -30 + 14t = 17 + 14t Add '-14t' to each side of the equation. -30 + 14t + -14t = 17 + 14t + -14t Combine like terms: 14t + -14t = 0 -30 + 0 = 17 + 14t + -14t -30 = 17 + 14t + -14t Combine like terms: 14t + -14t = 0 -30 = 17 + 0 -30 = 17 Solving -30 = 17 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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