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Simplifying 11(t + -5) + 3t = 7(2t + 3) + -12 Reorder the terms: 11(-5 + t) + 3t = 7(2t + 3) + -12 (-5 * 11 + t * 11) + 3t = 7(2t + 3) + -12 (-55 + 11t) + 3t = 7(2t + 3) + -12 Combine like terms: 11t + 3t = 14t -55 + 14t = 7(2t + 3) + -12 Reorder the terms: -55 + 14t = 7(3 + 2t) + -12 -55 + 14t = (3 * 7 + 2t * 7) + -12 -55 + 14t = (21 + 14t) + -12 Reorder the terms: -55 + 14t = 21 + -12 + 14t Combine like terms: 21 + -12 = 9 -55 + 14t = 9 + 14t Add '-14t' to each side of the equation. -55 + 14t + -14t = 9 + 14t + -14t Combine like terms: 14t + -14t = 0 -55 + 0 = 9 + 14t + -14t -55 = 9 + 14t + -14t Combine like terms: 14t + -14t = 0 -55 = 9 + 0 -55 = 9 Solving -55 = 9 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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