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Simplifying 11(t + -5) + 7t = 6(3t + 2) + -8 Reorder the terms: 11(-5 + t) + 7t = 6(3t + 2) + -8 (-5 * 11 + t * 11) + 7t = 6(3t + 2) + -8 (-55 + 11t) + 7t = 6(3t + 2) + -8 Combine like terms: 11t + 7t = 18t -55 + 18t = 6(3t + 2) + -8 Reorder the terms: -55 + 18t = 6(2 + 3t) + -8 -55 + 18t = (2 * 6 + 3t * 6) + -8 -55 + 18t = (12 + 18t) + -8 Reorder the terms: -55 + 18t = 12 + -8 + 18t Combine like terms: 12 + -8 = 4 -55 + 18t = 4 + 18t Add '-18t' to each side of the equation. -55 + 18t + -18t = 4 + 18t + -18t Combine like terms: 18t + -18t = 0 -55 + 0 = 4 + 18t + -18t -55 = 4 + 18t + -18t Combine like terms: 18t + -18t = 0 -55 = 4 + 0 -55 = 4 Solving -55 = 4 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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