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Simplifying 7(t + -2) + 3t = 5(2t + 2) + -8 Reorder the terms: 7(-2 + t) + 3t = 5(2t + 2) + -8 (-2 * 7 + t * 7) + 3t = 5(2t + 2) + -8 (-14 + 7t) + 3t = 5(2t + 2) + -8 Combine like terms: 7t + 3t = 10t -14 + 10t = 5(2t + 2) + -8 Reorder the terms: -14 + 10t = 5(2 + 2t) + -8 -14 + 10t = (2 * 5 + 2t * 5) + -8 -14 + 10t = (10 + 10t) + -8 Reorder the terms: -14 + 10t = 10 + -8 + 10t Combine like terms: 10 + -8 = 2 -14 + 10t = 2 + 10t Add '-10t' to each side of the equation. -14 + 10t + -10t = 2 + 10t + -10t Combine like terms: 10t + -10t = 0 -14 + 0 = 2 + 10t + -10t -14 = 2 + 10t + -10t Combine like terms: 10t + -10t = 0 -14 = 2 + 0 -14 = 2 Solving -14 = 2 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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