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Simplifying 17(t + -3) + 4t = 7(3t + 5) + -11 Reorder the terms: 17(-3 + t) + 4t = 7(3t + 5) + -11 (-3 * 17 + t * 17) + 4t = 7(3t + 5) + -11 (-51 + 17t) + 4t = 7(3t + 5) + -11 Combine like terms: 17t + 4t = 21t -51 + 21t = 7(3t + 5) + -11 Reorder the terms: -51 + 21t = 7(5 + 3t) + -11 -51 + 21t = (5 * 7 + 3t * 7) + -11 -51 + 21t = (35 + 21t) + -11 Reorder the terms: -51 + 21t = 35 + -11 + 21t Combine like terms: 35 + -11 = 24 -51 + 21t = 24 + 21t Add '-21t' to each side of the equation. -51 + 21t + -21t = 24 + 21t + -21t Combine like terms: 21t + -21t = 0 -51 + 0 = 24 + 21t + -21t -51 = 24 + 21t + -21t Combine like terms: 21t + -21t = 0 -51 = 24 + 0 -51 = 24 Solving -51 = 24 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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