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Simplifying 17(t + -3) + 4t = 7(3t + 4) + -9 Reorder the terms: 17(-3 + t) + 4t = 7(3t + 4) + -9 (-3 * 17 + t * 17) + 4t = 7(3t + 4) + -9 (-51 + 17t) + 4t = 7(3t + 4) + -9 Combine like terms: 17t + 4t = 21t -51 + 21t = 7(3t + 4) + -9 Reorder the terms: -51 + 21t = 7(4 + 3t) + -9 -51 + 21t = (4 * 7 + 3t * 7) + -9 -51 + 21t = (28 + 21t) + -9 Reorder the terms: -51 + 21t = 28 + -9 + 21t Combine like terms: 28 + -9 = 19 -51 + 21t = 19 + 21t Add '-21t' to each side of the equation. -51 + 21t + -21t = 19 + 21t + -21t Combine like terms: 21t + -21t = 0 -51 + 0 = 19 + 21t + -21t -51 = 19 + 21t + -21t Combine like terms: 21t + -21t = 0 -51 = 19 + 0 -51 = 19 Solving -51 = 19 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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