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Simplifying 17(t + -2) + 4t = 7(3t + 5) + -12 Reorder the terms: 17(-2 + t) + 4t = 7(3t + 5) + -12 (-2 * 17 + t * 17) + 4t = 7(3t + 5) + -12 (-34 + 17t) + 4t = 7(3t + 5) + -12 Combine like terms: 17t + 4t = 21t -34 + 21t = 7(3t + 5) + -12 Reorder the terms: -34 + 21t = 7(5 + 3t) + -12 -34 + 21t = (5 * 7 + 3t * 7) + -12 -34 + 21t = (35 + 21t) + -12 Reorder the terms: -34 + 21t = 35 + -12 + 21t Combine like terms: 35 + -12 = 23 -34 + 21t = 23 + 21t Add '-21t' to each side of the equation. -34 + 21t + -21t = 23 + 21t + -21t Combine like terms: 21t + -21t = 0 -34 + 0 = 23 + 21t + -21t -34 = 23 + 21t + -21t Combine like terms: 21t + -21t = 0 -34 = 23 + 0 -34 = 23 Solving -34 = 23 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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