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Simplifying 8(t + -3) + 6t = 7(2t + 3) + -10 Reorder the terms: 8(-3 + t) + 6t = 7(2t + 3) + -10 (-3 * 8 + t * 8) + 6t = 7(2t + 3) + -10 (-24 + 8t) + 6t = 7(2t + 3) + -10 Combine like terms: 8t + 6t = 14t -24 + 14t = 7(2t + 3) + -10 Reorder the terms: -24 + 14t = 7(3 + 2t) + -10 -24 + 14t = (3 * 7 + 2t * 7) + -10 -24 + 14t = (21 + 14t) + -10 Reorder the terms: -24 + 14t = 21 + -10 + 14t Combine like terms: 21 + -10 = 11 -24 + 14t = 11 + 14t Add '-14t' to each side of the equation. -24 + 14t + -14t = 11 + 14t + -14t Combine like terms: 14t + -14t = 0 -24 + 0 = 11 + 14t + -14t -24 = 11 + 14t + -14t Combine like terms: 14t + -14t = 0 -24 = 11 + 0 -24 = 11 Solving -24 = 11 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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