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Simplifying 5t + 8t = 5 + -3(t + -5) Combine like terms: 5t + 8t = 13t 13t = 5 + -3(t + -5) Reorder the terms: 13t = 5 + -3(-5 + t) 13t = 5 + (-5 * -3 + t * -3) 13t = 5 + (15 + -3t) Combine like terms: 5 + 15 = 20 13t = 20 + -3t Solving 13t = 20 + -3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '3t' to each side of the equation. 13t + 3t = 20 + -3t + 3t Combine like terms: 13t + 3t = 16t 16t = 20 + -3t + 3t Combine like terms: -3t + 3t = 0 16t = 20 + 0 16t = 20 Divide each side by '16'. t = 1.25 Simplifying t = 1.25
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