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Simplifying 6(t + -4) + 8t = 7(2t + 3) + -9 Reorder the terms: 6(-4 + t) + 8t = 7(2t + 3) + -9 (-4 * 6 + t * 6) + 8t = 7(2t + 3) + -9 (-24 + 6t) + 8t = 7(2t + 3) + -9 Combine like terms: 6t + 8t = 14t -24 + 14t = 7(2t + 3) + -9 Reorder the terms: -24 + 14t = 7(3 + 2t) + -9 -24 + 14t = (3 * 7 + 2t * 7) + -9 -24 + 14t = (21 + 14t) + -9 Reorder the terms: -24 + 14t = 21 + -9 + 14t Combine like terms: 21 + -9 = 12 -24 + 14t = 12 + 14t Add '-14t' to each side of the equation. -24 + 14t + -14t = 12 + 14t + -14t Combine like terms: 14t + -14t = 0 -24 + 0 = 12 + 14t + -14t -24 = 12 + 14t + -14t Combine like terms: 14t + -14t = 0 -24 = 12 + 0 -24 = 12 Solving -24 = 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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