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Simplifying 2(t + -6) + 8t = 5(2t + 5) + -9 Reorder the terms: 2(-6 + t) + 8t = 5(2t + 5) + -9 (-6 * 2 + t * 2) + 8t = 5(2t + 5) + -9 (-12 + 2t) + 8t = 5(2t + 5) + -9 Combine like terms: 2t + 8t = 10t -12 + 10t = 5(2t + 5) + -9 Reorder the terms: -12 + 10t = 5(5 + 2t) + -9 -12 + 10t = (5 * 5 + 2t * 5) + -9 -12 + 10t = (25 + 10t) + -9 Reorder the terms: -12 + 10t = 25 + -9 + 10t Combine like terms: 25 + -9 = 16 -12 + 10t = 16 + 10t Add '-10t' to each side of the equation. -12 + 10t + -10t = 16 + 10t + -10t Combine like terms: 10t + -10t = 0 -12 + 0 = 16 + 10t + -10t -12 = 16 + 10t + -10t Combine like terms: 10t + -10t = 0 -12 = 16 + 0 -12 = 16 Solving -12 = 16 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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