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Simplifying 5t + 9 = -8t + -13 Reorder the terms: 9 + 5t = -8t + -13 Reorder the terms: 9 + 5t = -13 + -8t Solving 9 + 5t = -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 + 5t + 8t = -13 + -8t + 8t Combine like terms: 5t + 8t = 13t 9 + 13t = -13 + -8t + 8t Combine like terms: -8t + 8t = 0 9 + 13t = -13 + 0 9 + 13t = -13 Add '-9' to each side of the equation. 9 + -9 + 13t = -13 + -9 Combine like terms: 9 + -9 = 0 0 + 13t = -13 + -9 13t = -13 + -9 Combine like terms: -13 + -9 = -22 13t = -22 Divide each side by '13'. t = -1.692307692 Simplifying t = -1.692307692
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