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Simplifying 84 + -3t = 9t + 24 Reorder the terms: 84 + -3t = 24 + 9t Solving 84 + -3t = 24 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. 84 + -3t + -9t = 24 + 9t + -9t Combine like terms: -3t + -9t = -12t 84 + -12t = 24 + 9t + -9t Combine like terms: 9t + -9t = 0 84 + -12t = 24 + 0 84 + -12t = 24 Add '-84' to each side of the equation. 84 + -84 + -12t = 24 + -84 Combine like terms: 84 + -84 = 0 0 + -12t = 24 + -84 -12t = 24 + -84 Combine like terms: 24 + -84 = -60 -12t = -60 Divide each side by '-12'. t = 5 Simplifying t = 5
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