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Simplifying 2(t + -5) + 8t = 5(2t + 3) + -12 Reorder the terms: 2(-5 + t) + 8t = 5(2t + 3) + -12 (-5 * 2 + t * 2) + 8t = 5(2t + 3) + -12 (-10 + 2t) + 8t = 5(2t + 3) + -12 Combine like terms: 2t + 8t = 10t -10 + 10t = 5(2t + 3) + -12 Reorder the terms: -10 + 10t = 5(3 + 2t) + -12 -10 + 10t = (3 * 5 + 2t * 5) + -12 -10 + 10t = (15 + 10t) + -12 Reorder the terms: -10 + 10t = 15 + -12 + 10t Combine like terms: 15 + -12 = 3 -10 + 10t = 3 + 10t Add '-10t' to each side of the equation. -10 + 10t + -10t = 3 + 10t + -10t Combine like terms: 10t + -10t = 0 -10 + 0 = 3 + 10t + -10t -10 = 3 + 10t + -10t Combine like terms: 10t + -10t = 0 -10 = 3 + 0 -10 = 3 Solving -10 = 3 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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