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Simplifying 6(t + -5) + 4t = 5(2t + 5) + -8 Reorder the terms: 6(-5 + t) + 4t = 5(2t + 5) + -8 (-5 * 6 + t * 6) + 4t = 5(2t + 5) + -8 (-30 + 6t) + 4t = 5(2t + 5) + -8 Combine like terms: 6t + 4t = 10t -30 + 10t = 5(2t + 5) + -8 Reorder the terms: -30 + 10t = 5(5 + 2t) + -8 -30 + 10t = (5 * 5 + 2t * 5) + -8 -30 + 10t = (25 + 10t) + -8 Reorder the terms: -30 + 10t = 25 + -8 + 10t Combine like terms: 25 + -8 = 17 -30 + 10t = 17 + 10t Add '-10t' to each side of the equation. -30 + 10t + -10t = 17 + 10t + -10t Combine like terms: 10t + -10t = 0 -30 + 0 = 17 + 10t + -10t -30 = 17 + 10t + -10t Combine like terms: 10t + -10t = 0 -30 = 17 + 0 -30 = 17 Solving -30 = 17 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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