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Simplifying 2(t + -4) + 8t = 5(2t + 3) + -8 Reorder the terms: 2(-4 + t) + 8t = 5(2t + 3) + -8 (-4 * 2 + t * 2) + 8t = 5(2t + 3) + -8 (-8 + 2t) + 8t = 5(2t + 3) + -8 Combine like terms: 2t + 8t = 10t -8 + 10t = 5(2t + 3) + -8 Reorder the terms: -8 + 10t = 5(3 + 2t) + -8 -8 + 10t = (3 * 5 + 2t * 5) + -8 -8 + 10t = (15 + 10t) + -8 Reorder the terms: -8 + 10t = 15 + -8 + 10t Combine like terms: 15 + -8 = 7 -8 + 10t = 7 + 10t Add '-10t' to each side of the equation. -8 + 10t + -10t = 7 + 10t + -10t Combine like terms: 10t + -10t = 0 -8 + 0 = 7 + 10t + -10t -8 = 7 + 10t + -10t Combine like terms: 10t + -10t = 0 -8 = 7 + 0 -8 = 7 Solving -8 = 7 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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