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Simplifying 17(t + -5) + 4t = 7(3t + 2) + -11 Reorder the terms: 17(-5 + t) + 4t = 7(3t + 2) + -11 (-5 * 17 + t * 17) + 4t = 7(3t + 2) + -11 (-85 + 17t) + 4t = 7(3t + 2) + -11 Combine like terms: 17t + 4t = 21t -85 + 21t = 7(3t + 2) + -11 Reorder the terms: -85 + 21t = 7(2 + 3t) + -11 -85 + 21t = (2 * 7 + 3t * 7) + -11 -85 + 21t = (14 + 21t) + -11 Reorder the terms: -85 + 21t = 14 + -11 + 21t Combine like terms: 14 + -11 = 3 -85 + 21t = 3 + 21t Add '-21t' to each side of the equation. -85 + 21t + -21t = 3 + 21t + -21t Combine like terms: 21t + -21t = 0 -85 + 0 = 3 + 21t + -21t -85 = 3 + 21t + -21t Combine like terms: 21t + -21t = 0 -85 = 3 + 0 -85 = 3 Solving -85 = 3 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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