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Simplifying 6(t + -2) + 8t = 7(2t + 5) + -10 Reorder the terms: 6(-2 + t) + 8t = 7(2t + 5) + -10 (-2 * 6 + t * 6) + 8t = 7(2t + 5) + -10 (-12 + 6t) + 8t = 7(2t + 5) + -10 Combine like terms: 6t + 8t = 14t -12 + 14t = 7(2t + 5) + -10 Reorder the terms: -12 + 14t = 7(5 + 2t) + -10 -12 + 14t = (5 * 7 + 2t * 7) + -10 -12 + 14t = (35 + 14t) + -10 Reorder the terms: -12 + 14t = 35 + -10 + 14t Combine like terms: 35 + -10 = 25 -12 + 14t = 25 + 14t Add '-14t' to each side of the equation. -12 + 14t + -14t = 25 + 14t + -14t Combine like terms: 14t + -14t = 0 -12 + 0 = 25 + 14t + -14t -12 = 25 + 14t + -14t Combine like terms: 14t + -14t = 0 -12 = 25 + 0 -12 = 25 Solving -12 = 25 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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