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Simplifying 3(t + -5) + 5t = 4(2t + 5) + -8 Reorder the terms: 3(-5 + t) + 5t = 4(2t + 5) + -8 (-5 * 3 + t * 3) + 5t = 4(2t + 5) + -8 (-15 + 3t) + 5t = 4(2t + 5) + -8 Combine like terms: 3t + 5t = 8t -15 + 8t = 4(2t + 5) + -8 Reorder the terms: -15 + 8t = 4(5 + 2t) + -8 -15 + 8t = (5 * 4 + 2t * 4) + -8 -15 + 8t = (20 + 8t) + -8 Reorder the terms: -15 + 8t = 20 + -8 + 8t Combine like terms: 20 + -8 = 12 -15 + 8t = 12 + 8t Add '-8t' to each side of the equation. -15 + 8t + -8t = 12 + 8t + -8t Combine like terms: 8t + -8t = 0 -15 + 0 = 12 + 8t + -8t -15 = 12 + 8t + -8t Combine like terms: 8t + -8t = 0 -15 = 12 + 0 -15 = 12 Solving -15 = 12 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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