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Simplifying 11(t + -2) + 3t = 7(2t + 5) + -10 Reorder the terms: 11(-2 + t) + 3t = 7(2t + 5) + -10 (-2 * 11 + t * 11) + 3t = 7(2t + 5) + -10 (-22 + 11t) + 3t = 7(2t + 5) + -10 Combine like terms: 11t + 3t = 14t -22 + 14t = 7(2t + 5) + -10 Reorder the terms: -22 + 14t = 7(5 + 2t) + -10 -22 + 14t = (5 * 7 + 2t * 7) + -10 -22 + 14t = (35 + 14t) + -10 Reorder the terms: -22 + 14t = 35 + -10 + 14t Combine like terms: 35 + -10 = 25 -22 + 14t = 25 + 14t Add '-14t' to each side of the equation. -22 + 14t + -14t = 25 + 14t + -14t Combine like terms: 14t + -14t = 0 -22 + 0 = 25 + 14t + -14t -22 = 25 + 14t + -14t Combine like terms: 14t + -14t = 0 -22 = 25 + 0 -22 = 25 Solving -22 = 25 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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