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Simplifying 1(t + -5) + 7t = 4(2t + 4) + -13 Reorder the terms: 1(-5 + t) + 7t = 4(2t + 4) + -13 (-5 * 1 + t * 1) + 7t = 4(2t + 4) + -13 (-5 + 1t) + 7t = 4(2t + 4) + -13 Combine like terms: 1t + 7t = 8t -5 + 8t = 4(2t + 4) + -13 Reorder the terms: -5 + 8t = 4(4 + 2t) + -13 -5 + 8t = (4 * 4 + 2t * 4) + -13 -5 + 8t = (16 + 8t) + -13 Reorder the terms: -5 + 8t = 16 + -13 + 8t Combine like terms: 16 + -13 = 3 -5 + 8t = 3 + 8t Add '-8t' to each side of the equation. -5 + 8t + -8t = 3 + 8t + -8t Combine like terms: 8t + -8t = 0 -5 + 0 = 3 + 8t + -8t -5 = 3 + 8t + -8t Combine like terms: 8t + -8t = 0 -5 = 3 + 0 -5 = 3 Solving -5 = 3 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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