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Simplifying 3(t + -3) + 7t = 5(2t + 5) + -10 Reorder the terms: 3(-3 + t) + 7t = 5(2t + 5) + -10 (-3 * 3 + t * 3) + 7t = 5(2t + 5) + -10 (-9 + 3t) + 7t = 5(2t + 5) + -10 Combine like terms: 3t + 7t = 10t -9 + 10t = 5(2t + 5) + -10 Reorder the terms: -9 + 10t = 5(5 + 2t) + -10 -9 + 10t = (5 * 5 + 2t * 5) + -10 -9 + 10t = (25 + 10t) + -10 Reorder the terms: -9 + 10t = 25 + -10 + 10t Combine like terms: 25 + -10 = 15 -9 + 10t = 15 + 10t Add '-10t' to each side of the equation. -9 + 10t + -10t = 15 + 10t + -10t Combine like terms: 10t + -10t = 0 -9 + 0 = 15 + 10t + -10t -9 = 15 + 10t + -10t Combine like terms: 10t + -10t = 0 -9 = 15 + 0 -9 = 15 Solving -9 = 15 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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