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Simplifying 6(t + -5) + 4t = 5(2t + 3) + -13 Reorder the terms: 6(-5 + t) + 4t = 5(2t + 3) + -13 (-5 * 6 + t * 6) + 4t = 5(2t + 3) + -13 (-30 + 6t) + 4t = 5(2t + 3) + -13 Combine like terms: 6t + 4t = 10t -30 + 10t = 5(2t + 3) + -13 Reorder the terms: -30 + 10t = 5(3 + 2t) + -13 -30 + 10t = (3 * 5 + 2t * 5) + -13 -30 + 10t = (15 + 10t) + -13 Reorder the terms: -30 + 10t = 15 + -13 + 10t Combine like terms: 15 + -13 = 2 -30 + 10t = 2 + 10t Add '-10t' to each side of the equation. -30 + 10t + -10t = 2 + 10t + -10t Combine like terms: 10t + -10t = 0 -30 + 0 = 2 + 10t + -10t -30 = 2 + 10t + -10t Combine like terms: 10t + -10t = 0 -30 = 2 + 0 -30 = 2 Solving -30 = 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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