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Simplifying 4t + 9 = -8t + -13 Reorder the terms: 9 + 4t = -8t + -13 Reorder the terms: 9 + 4t = -13 + -8t Solving 9 + 4t = -13 + -8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '8t' to each side of the equation. 9 + 4t + 8t = -13 + -8t + 8t Combine like terms: 4t + 8t = 12t 9 + 12t = -13 + -8t + 8t Combine like terms: -8t + 8t = 0 9 + 12t = -13 + 0 9 + 12t = -13 Add '-9' to each side of the equation. 9 + -9 + 12t = -13 + -9 Combine like terms: 9 + -9 = 0 0 + 12t = -13 + -9 12t = -13 + -9 Combine like terms: -13 + -9 = -22 12t = -22 Divide each side by '12'. t = -1.833333333 Simplifying t = -1.833333333
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