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Simplifying 3(t + -6) + 5t = 4(2t + 3) + -10 Reorder the terms: 3(-6 + t) + 5t = 4(2t + 3) + -10 (-6 * 3 + t * 3) + 5t = 4(2t + 3) + -10 (-18 + 3t) + 5t = 4(2t + 3) + -10 Combine like terms: 3t + 5t = 8t -18 + 8t = 4(2t + 3) + -10 Reorder the terms: -18 + 8t = 4(3 + 2t) + -10 -18 + 8t = (3 * 4 + 2t * 4) + -10 -18 + 8t = (12 + 8t) + -10 Reorder the terms: -18 + 8t = 12 + -10 + 8t Combine like terms: 12 + -10 = 2 -18 + 8t = 2 + 8t Add '-8t' to each side of the equation. -18 + 8t + -8t = 2 + 8t + -8t Combine like terms: 8t + -8t = 0 -18 + 0 = 2 + 8t + -8t -18 = 2 + 8t + -8t Combine like terms: 8t + -8t = 0 -18 = 2 + 0 -18 = 2 Solving -18 = 2 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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