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Simplifying 3(t + -2) + 5t = 4(2t + 5) + -10 Reorder the terms: 3(-2 + t) + 5t = 4(2t + 5) + -10 (-2 * 3 + t * 3) + 5t = 4(2t + 5) + -10 (-6 + 3t) + 5t = 4(2t + 5) + -10 Combine like terms: 3t + 5t = 8t -6 + 8t = 4(2t + 5) + -10 Reorder the terms: -6 + 8t = 4(5 + 2t) + -10 -6 + 8t = (5 * 4 + 2t * 4) + -10 -6 + 8t = (20 + 8t) + -10 Reorder the terms: -6 + 8t = 20 + -10 + 8t Combine like terms: 20 + -10 = 10 -6 + 8t = 10 + 8t Add '-8t' to each side of the equation. -6 + 8t + -8t = 10 + 8t + -8t Combine like terms: 8t + -8t = 0 -6 + 0 = 10 + 8t + -8t -6 = 10 + 8t + -8t Combine like terms: 8t + -8t = 0 -6 = 10 + 0 -6 = 10 Solving -6 = 10 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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