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Simplifying 8 + 9t = 21t + -17 Reorder the terms: 8 + 9t = -17 + 21t Solving 8 + 9t = -17 + 21t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-21t' to each side of the equation. 8 + 9t + -21t = -17 + 21t + -21t Combine like terms: 9t + -21t = -12t 8 + -12t = -17 + 21t + -21t Combine like terms: 21t + -21t = 0 8 + -12t = -17 + 0 8 + -12t = -17 Add '-8' to each side of the equation. 8 + -8 + -12t = -17 + -8 Combine like terms: 8 + -8 = 0 0 + -12t = -17 + -8 -12t = -17 + -8 Combine like terms: -17 + -8 = -25 -12t = -25 Divide each side by '-12'. t = 2.083333333 Simplifying t = 2.083333333
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