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Simplifying 3(t + -6) + 7t = 5(2t + 5) + -13 Reorder the terms: 3(-6 + t) + 7t = 5(2t + 5) + -13 (-6 * 3 + t * 3) + 7t = 5(2t + 5) + -13 (-18 + 3t) + 7t = 5(2t + 5) + -13 Combine like terms: 3t + 7t = 10t -18 + 10t = 5(2t + 5) + -13 Reorder the terms: -18 + 10t = 5(5 + 2t) + -13 -18 + 10t = (5 * 5 + 2t * 5) + -13 -18 + 10t = (25 + 10t) + -13 Reorder the terms: -18 + 10t = 25 + -13 + 10t Combine like terms: 25 + -13 = 12 -18 + 10t = 12 + 10t Add '-10t' to each side of the equation. -18 + 10t + -10t = 12 + 10t + -10t Combine like terms: 10t + -10t = 0 -18 + 0 = 12 + 10t + -10t -18 = 12 + 10t + -10t Combine like terms: 10t + -10t = 0 -18 = 12 + 0 -18 = 12 Solving -18 = 12 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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