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Simplifying 11(t + -5) + 7t = 6(3t + 5) + -9 Reorder the terms: 11(-5 + t) + 7t = 6(3t + 5) + -9 (-5 * 11 + t * 11) + 7t = 6(3t + 5) + -9 (-55 + 11t) + 7t = 6(3t + 5) + -9 Combine like terms: 11t + 7t = 18t -55 + 18t = 6(3t + 5) + -9 Reorder the terms: -55 + 18t = 6(5 + 3t) + -9 -55 + 18t = (5 * 6 + 3t * 6) + -9 -55 + 18t = (30 + 18t) + -9 Reorder the terms: -55 + 18t = 30 + -9 + 18t Combine like terms: 30 + -9 = 21 -55 + 18t = 21 + 18t Add '-18t' to each side of the equation. -55 + 18t + -18t = 21 + 18t + -18t Combine like terms: 18t + -18t = 0 -55 + 0 = 21 + 18t + -18t -55 = 21 + 18t + -18t Combine like terms: 18t + -18t = 0 -55 = 21 + 0 -55 = 21 Solving -55 = 21 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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