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Simplifying 3(t + -3) + 7t = 5(2t + 4) + -13 Reorder the terms: 3(-3 + t) + 7t = 5(2t + 4) + -13 (-3 * 3 + t * 3) + 7t = 5(2t + 4) + -13 (-9 + 3t) + 7t = 5(2t + 4) + -13 Combine like terms: 3t + 7t = 10t -9 + 10t = 5(2t + 4) + -13 Reorder the terms: -9 + 10t = 5(4 + 2t) + -13 -9 + 10t = (4 * 5 + 2t * 5) + -13 -9 + 10t = (20 + 10t) + -13 Reorder the terms: -9 + 10t = 20 + -13 + 10t Combine like terms: 20 + -13 = 7 -9 + 10t = 7 + 10t Add '-10t' to each side of the equation. -9 + 10t + -10t = 7 + 10t + -10t Combine like terms: 10t + -10t = 0 -9 + 0 = 7 + 10t + -10t -9 = 7 + 10t + -10t Combine like terms: 10t + -10t = 0 -9 = 7 + 0 -9 = 7 Solving -9 = 7 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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