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Simplifying 17(t + -2) + 4t = 7(3t + 2) + -13 Reorder the terms: 17(-2 + t) + 4t = 7(3t + 2) + -13 (-2 * 17 + t * 17) + 4t = 7(3t + 2) + -13 (-34 + 17t) + 4t = 7(3t + 2) + -13 Combine like terms: 17t + 4t = 21t -34 + 21t = 7(3t + 2) + -13 Reorder the terms: -34 + 21t = 7(2 + 3t) + -13 -34 + 21t = (2 * 7 + 3t * 7) + -13 -34 + 21t = (14 + 21t) + -13 Reorder the terms: -34 + 21t = 14 + -13 + 21t Combine like terms: 14 + -13 = 1 -34 + 21t = 1 + 21t Add '-21t' to each side of the equation. -34 + 21t + -21t = 1 + 21t + -21t Combine like terms: 21t + -21t = 0 -34 + 0 = 1 + 21t + -21t -34 = 1 + 21t + -21t Combine like terms: 21t + -21t = 0 -34 = 1 + 0 -34 = 1 Solving -34 = 1 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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