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Simplifying 4(t + -5) + 6t = 5(2t + 2) + -8 Reorder the terms: 4(-5 + t) + 6t = 5(2t + 2) + -8 (-5 * 4 + t * 4) + 6t = 5(2t + 2) + -8 (-20 + 4t) + 6t = 5(2t + 2) + -8 Combine like terms: 4t + 6t = 10t -20 + 10t = 5(2t + 2) + -8 Reorder the terms: -20 + 10t = 5(2 + 2t) + -8 -20 + 10t = (2 * 5 + 2t * 5) + -8 -20 + 10t = (10 + 10t) + -8 Reorder the terms: -20 + 10t = 10 + -8 + 10t Combine like terms: 10 + -8 = 2 -20 + 10t = 2 + 10t Add '-10t' to each side of the equation. -20 + 10t + -10t = 2 + 10t + -10t Combine like terms: 10t + -10t = 0 -20 + 0 = 2 + 10t + -10t -20 = 2 + 10t + -10t Combine like terms: 10t + -10t = 0 -20 = 2 + 0 -20 = 2 Solving -20 = 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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