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Simplifying 2(t + -3) + 8t = 5(2t + 5) + -10 Reorder the terms: 2(-3 + t) + 8t = 5(2t + 5) + -10 (-3 * 2 + t * 2) + 8t = 5(2t + 5) + -10 (-6 + 2t) + 8t = 5(2t + 5) + -10 Combine like terms: 2t + 8t = 10t -6 + 10t = 5(2t + 5) + -10 Reorder the terms: -6 + 10t = 5(5 + 2t) + -10 -6 + 10t = (5 * 5 + 2t * 5) + -10 -6 + 10t = (25 + 10t) + -10 Reorder the terms: -6 + 10t = 25 + -10 + 10t Combine like terms: 25 + -10 = 15 -6 + 10t = 15 + 10t Add '-10t' to each side of the equation. -6 + 10t + -10t = 15 + 10t + -10t Combine like terms: 10t + -10t = 0 -6 + 0 = 15 + 10t + -10t -6 = 15 + 10t + -10t Combine like terms: 10t + -10t = 0 -6 = 15 + 0 -6 = 15 Solving -6 = 15 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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