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Simplifying 5t + 13 = -8t Reorder the terms: 13 + 5t = -8t Solving 13 + 5t = -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. 13 + 5t + 8t = -8t + 8t Combine like terms: 5t + 8t = 13t 13 + 13t = -8t + 8t Combine like terms: -8t + 8t = 0 13 + 13t = 0 Add '-13' to each side of the equation. 13 + -13 + 13t = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 13t = 0 + -13 13t = 0 + -13 Combine like terms: 0 + -13 = -13 13t = -13 Divide each side by '13'. t = -1 Simplifying t = -1
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