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Simplifying 5(2t + -1) + 1 = 2t + -3 + 8t Reorder the terms: 5(-1 + 2t) + 1 = 2t + -3 + 8t (-1 * 5 + 2t * 5) + 1 = 2t + -3 + 8t (-5 + 10t) + 1 = 2t + -3 + 8t Reorder the terms: -5 + 1 + 10t = 2t + -3 + 8t Combine like terms: -5 + 1 = -4 -4 + 10t = 2t + -3 + 8t Reorder the terms: -4 + 10t = -3 + 2t + 8t Combine like terms: 2t + 8t = 10t -4 + 10t = -3 + 10t Add '-10t' to each side of the equation. -4 + 10t + -10t = -3 + 10t + -10t Combine like terms: 10t + -10t = 0 -4 + 0 = -3 + 10t + -10t -4 = -3 + 10t + -10t Combine like terms: 10t + -10t = 0 -4 = -3 + 0 -4 = -3 Solving -4 = -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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