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Simplifying 12t + 80 = 21t + -100 Reorder the terms: 80 + 12t = 21t + -100 Reorder the terms: 80 + 12t = -100 + 21t Solving 80 + 12t = -100 + 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. 80 + 12t + -21t = -100 + 21t + -21t Combine like terms: 12t + -21t = -9t 80 + -9t = -100 + 21t + -21t Combine like terms: 21t + -21t = 0 80 + -9t = -100 + 0 80 + -9t = -100 Add '-80' to each side of the equation. 80 + -80 + -9t = -100 + -80 Combine like terms: 80 + -80 = 0 0 + -9t = -100 + -80 -9t = -100 + -80 Combine like terms: -100 + -80 = -180 -9t = -180 Divide each side by '-9'. t = 20 Simplifying t = 20
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