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Simplifying 7(t + -5) + 3t = 5(2t + 3) + -9 Reorder the terms: 7(-5 + t) + 3t = 5(2t + 3) + -9 (-5 * 7 + t * 7) + 3t = 5(2t + 3) + -9 (-35 + 7t) + 3t = 5(2t + 3) + -9 Combine like terms: 7t + 3t = 10t -35 + 10t = 5(2t + 3) + -9 Reorder the terms: -35 + 10t = 5(3 + 2t) + -9 -35 + 10t = (3 * 5 + 2t * 5) + -9 -35 + 10t = (15 + 10t) + -9 Reorder the terms: -35 + 10t = 15 + -9 + 10t Combine like terms: 15 + -9 = 6 -35 + 10t = 6 + 10t Add '-10t' to each side of the equation. -35 + 10t + -10t = 6 + 10t + -10t Combine like terms: 10t + -10t = 0 -35 + 0 = 6 + 10t + -10t -35 = 6 + 10t + -10t Combine like terms: 10t + -10t = 0 -35 = 6 + 0 -35 = 6 Solving -35 = 6 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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