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Simplifying 1(t + -6) + 7t = 4(2t + 5) + -8 Reorder the terms: 1(-6 + t) + 7t = 4(2t + 5) + -8 (-6 * 1 + t * 1) + 7t = 4(2t + 5) + -8 (-6 + 1t) + 7t = 4(2t + 5) + -8 Combine like terms: 1t + 7t = 8t -6 + 8t = 4(2t + 5) + -8 Reorder the terms: -6 + 8t = 4(5 + 2t) + -8 -6 + 8t = (5 * 4 + 2t * 4) + -8 -6 + 8t = (20 + 8t) + -8 Reorder the terms: -6 + 8t = 20 + -8 + 8t Combine like terms: 20 + -8 = 12 -6 + 8t = 12 + 8t Add '-8t' to each side of the equation. -6 + 8t + -8t = 12 + 8t + -8t Combine like terms: 8t + -8t = 0 -6 + 0 = 12 + 8t + -8t -6 = 12 + 8t + -8t Combine like terms: 8t + -8t = 0 -6 = 12 + 0 -6 = 12 Solving -6 = 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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