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Simplifying 6(t + -3) + 8t = 7(2t + 3) + -13 Reorder the terms: 6(-3 + t) + 8t = 7(2t + 3) + -13 (-3 * 6 + t * 6) + 8t = 7(2t + 3) + -13 (-18 + 6t) + 8t = 7(2t + 3) + -13 Combine like terms: 6t + 8t = 14t -18 + 14t = 7(2t + 3) + -13 Reorder the terms: -18 + 14t = 7(3 + 2t) + -13 -18 + 14t = (3 * 7 + 2t * 7) + -13 -18 + 14t = (21 + 14t) + -13 Reorder the terms: -18 + 14t = 21 + -13 + 14t Combine like terms: 21 + -13 = 8 -18 + 14t = 8 + 14t Add '-14t' to each side of the equation. -18 + 14t + -14t = 8 + 14t + -14t Combine like terms: 14t + -14t = 0 -18 + 0 = 8 + 14t + -14t -18 = 8 + 14t + -14t Combine like terms: 14t + -14t = 0 -18 = 8 + 0 -18 = 8 Solving -18 = 8 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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