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Simplifying 1(t + -4) + 7t = 4(2t + 5) + -13 Reorder the terms: 1(-4 + t) + 7t = 4(2t + 5) + -13 (-4 * 1 + t * 1) + 7t = 4(2t + 5) + -13 (-4 + 1t) + 7t = 4(2t + 5) + -13 Combine like terms: 1t + 7t = 8t -4 + 8t = 4(2t + 5) + -13 Reorder the terms: -4 + 8t = 4(5 + 2t) + -13 -4 + 8t = (5 * 4 + 2t * 4) + -13 -4 + 8t = (20 + 8t) + -13 Reorder the terms: -4 + 8t = 20 + -13 + 8t Combine like terms: 20 + -13 = 7 -4 + 8t = 7 + 8t Add '-8t' to each side of the equation. -4 + 8t + -8t = 7 + 8t + -8t Combine like terms: 8t + -8t = 0 -4 + 0 = 7 + 8t + -8t -4 = 7 + 8t + -8t Combine like terms: 8t + -8t = 0 -4 = 7 + 0 -4 = 7 Solving -4 = 7 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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